1 Summary

Kohls, N., Sauer, S., & Walach, H. (2009). Facets of mindfulness – Results of an online study investigating the Freiburg mindfulness inventory. Personality and Individual Differences, 46(2), 224–230. https://doi.org/10.1016/j.paid.2008.10.009

2 Setup

Load R-Packages and other functions used.

library(easystats)
library(here)
library(tidyverse)
#library(knitr)
library(DataExplorer)
#library(scales)
library(knitr)
library(gt)
library(magrittr)  # extract2
library(lavaan)
library(semPlot)
library(psych)
source("R-code/funs.R")
source("R-code/01-prepare-data.R")

3 Data

3.1 Prepare data

d_w_items <- prepare_FMI_data()
## The following items were matched to the *presence* factor:  ffa_1 ffa_2 ffa_3 ffa_5 ffa_7 ffa_10  
## The following items were matched to the *acceptance* factor:  ffa_4 ffa_6 ffa_8 ffa_9 ffa_11 ffa_12 ffa_14  
## mutating factors to character variables
names(d_w_items)
##  [1] "Nummer"                 "STATUS"                 "Einwilligung"          
##  [4] "Alter"                  "Geschlecht"             "Bildung"               
##  [7] "Haushaltsgrösse"        "Religion"               "Evang"                 
## [10] "Islam"                  "Judentum"               "keineRel"              
## [13] "Andere_Religion"        "feste_Stelle"           "Einkommen"             
## [16] "Kursteilnahme"          "tägl_Übung"             "Achts_regel"           
## [19] "Vip_regel"              "Zen_regel"              "TM_regel"              
## [22] "Kontemp_regel"          "Yoga_regel"             "TaiChi_regel"          
## [25] "ChiGong_regel"          "Tantra_regel"           "Ander_regel"           
## [28] "Anderes"                "Praxisjahre"            "Retreats"              
## [31] "Theorie"                "Presence"               "Acceptance"            
## [34] "Summe"                  "Acceptance13"           "SummeFFA13"            
## [37] "phq_sum"                "fmi13_mean"             "presence_mean"         
## [40] "acceptance13_mean"      "fmi14_mean"             "ffa_1"                 
## [43] "ffa_2"                  "ffa_3"                  "ffa_4"                 
## [46] "ffa_5"                  "ffa_6"                  "ffa_7"                 
## [49] "ffa_8"                  "ffa_9"                  "ffa_10"                
## [52] "ffa_11"                 "ffa_12"                 "ffa_13r"               
## [55] "ffa_14"                 "mindfulness_experience"

3.2 Item labels

item_labels <- 
  read_csv("metadata/FMI-items.csv") |> 
  mutate(item_name = paste0("FFA_", nr))

3.3 Matching items to factors

Presence items:

item_labels |> 
  filter(facet_PAID_2009 == "Presence") |> 
  select(nr) |> 
  extract2(1)
## [1]  1  2  3  5  7 10

Acceptance items:

item_labels |> 
  filter(facet_PAID_2009 == "Acceptance") |> 
  select(nr)|> 
  extract2(1)
## [1]  4  6  8  9 11 12 13 14

4 Describe factors

4.1 Visualization of factor distributions

d_w_items %>% 
  select(ends_with("_mean")) %>% 
  plot_density() + theme_minimal()

## NULL

Alternative visualization, keeping the x-axis constant:

facet_labs <- c(acceptance13_mean = "Acceptance",
                fmi13_mean = "FMI-13R",
                fmi14_mean = "FMI-14",
                presence_mean = "Presence")
  

d_w_items %>% 
  select(ends_with("_mean")) %>% 
  pivot_longer(everything()) %>% 
  ggplot(aes(x = value)) +
  geom_density() +
  facet_wrap(~ name, labeller = as_labeller(facet_labs)) +
  theme_minimal() +
  theme(strip.text = element_text(size = 14),
                axis.text = element_text(size =14)) +
  labs(y = "",
       x = "mean score")

4.2 Descriptive statistics

“Mean01” refers to a 0-1-standardized mean.

d_w_items %>% 
  select(ends_with("_mean")) %>% 
  describe_distribution(iqr = FALSE, range = TRUE, quartiles = TRUE) %>% 
  mutate(Mean01 = Mean/3) %>% 
  mutate(Model = c("FMI-13R", "Presence", "Acceptance", "FMI-14")) |> 
  relocate(Mean01, .after = Mean) %>% 
  relocate(Model, .before = everything()) |> 
  select(-Variable, -n_Missing) |> 
  knitr::kable(digits = 2)
Model Mean Mean01 SD Min Max Q1 Q3 Skewness Kurtosis n
FMI-13R 1.71 0.57 0.51 0.21 3 1.36 2 -0.15 0.16 1012
Presence 1.70 0.57 0.59 0.00 3 1.33 2 -0.24 0.19 1012
Acceptance 1.73 0.58 0.58 0.00 3 1.43 2 -0.22 0.27 1012
FMI-14 1.71 0.57 0.51 0.21 3 1.36 2 -0.15 0.16 1012

4.3 Norms

d_w_items %>% 
  select(ends_with("_mean")) %>% 
  map(~ knitr::kable(compute_all_norms(., min_score = 0, max_score = 3, by = .1), 
                     digits = 2))

$fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.37 1.00 16.35 0.00
0.1 0.00 -3.17 1.00 18.31 0.00
0.2 0.00 -2.97 1.00 20.28 0.00
0.3 0.01 -2.78 1.00 22.24 0.00
0.4 0.01 -2.58 1.00 24.21 0.00
0.5 0.02 -2.38 1.00 26.17 0.01
0.6 0.02 -2.19 1.00 28.13 0.01
0.7 0.03 -1.99 1.02 30.10 0.02
0.8 0.04 -1.79 1.41 32.06 0.04
0.9 0.05 -1.60 1.80 34.02 0.06
1.0 0.09 -1.40 2.20 35.99 0.08
1.1 0.12 -1.20 2.59 37.95 0.11
1.2 0.15 -1.01 2.98 39.92 0.16
1.3 0.21 -0.81 3.38 41.88 0.21
1.4 0.25 -0.62 3.77 43.84 0.27
1.5 0.34 -0.42 4.16 45.81 0.34
1.6 0.40 -0.22 4.55 47.77 0.41
1.7 0.45 -0.03 4.95 49.74 0.49
1.8 0.58 0.17 5.34 51.70 0.57
1.9 0.64 0.37 5.73 53.66 0.64
2.0 0.76 0.56 6.13 55.63 0.71
2.1 0.80 0.76 6.52 57.59 0.78
2.2 0.83 0.96 6.91 59.56 0.83
2.3 0.89 1.15 7.30 61.52 0.88
2.4 0.91 1.35 7.70 63.48 0.91
2.5 0.95 1.54 8.09 65.45 0.94
2.6 0.96 1.74 8.48 67.41 0.96
2.7 0.97 1.94 8.88 69.38 0.97
2.8 0.99 2.13 9.00 71.34 0.98
2.9 0.99 2.33 9.00 73.30 0.99
3.0 1.00 2.53 9.00 75.27 0.99

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0.01 -2.86 1.00 21.37 0.00
0.1 0.01 -2.69 1.00 23.06 0.00
0.2 0.02 -2.53 1.00 24.74 0.01
0.3 0.02 -2.36 1.00 26.43 0.01
0.4 0.02 -2.19 1.00 28.12 0.01
0.5 0.04 -2.02 1.00 29.80 0.02
0.6 0.04 -1.85 1.30 31.49 0.03
0.7 0.06 -1.68 1.64 33.18 0.05
0.8 0.06 -1.51 1.97 34.86 0.07
0.9 0.09 -1.34 2.31 36.55 0.09
1.0 0.15 -1.18 2.65 38.24 0.12
1.1 0.15 -1.01 2.98 39.92 0.16
1.2 0.21 -0.84 3.32 41.61 0.20
1.3 0.21 -0.67 3.66 43.30 0.25
1.4 0.29 -0.50 4.00 44.99 0.31
1.5 0.40 -0.33 4.33 46.67 0.37
1.6 0.40 -0.16 4.67 48.36 0.43
1.7 0.52 0.00 5.01 50.05 0.50
1.8 0.52 0.17 5.35 51.73 0.57
1.9 0.64 0.34 5.68 53.42 0.63
2.0 0.77 0.51 6.02 55.11 0.70
2.1 0.77 0.68 6.36 56.79 0.75
2.2 0.84 0.85 6.70 58.48 0.80
2.3 0.84 1.02 7.03 60.17 0.85
2.4 0.89 1.19 7.37 61.85 0.88
2.5 0.93 1.35 7.71 63.54 0.91
2.6 0.93 1.52 8.05 65.23 0.94
2.7 0.96 1.69 8.38 66.91 0.95
2.8 0.96 1.86 8.72 68.60 0.97
2.9 0.98 2.03 9.00 70.29 0.98
3.0 1.00 2.20 9.00 71.97 0.99

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.01 -2.99 1.00 20.06 0.00
0.1 0.01 -2.82 1.00 21.78 0.00
0.2 0.01 -2.65 1.00 23.51 0.00
0.3 0.02 -2.48 1.00 25.24 0.01
0.4 0.02 -2.30 1.00 26.96 0.01
0.5 0.03 -2.13 1.00 28.69 0.02
0.6 0.04 -1.96 1.08 30.42 0.03
0.7 0.04 -1.79 1.43 32.14 0.04
0.8 0.05 -1.61 1.77 33.87 0.05
0.9 0.08 -1.44 2.12 35.60 0.07
1.0 0.13 -1.27 2.47 37.33 0.10
1.1 0.13 -1.09 2.81 39.05 0.14
1.2 0.17 -0.92 3.16 40.78 0.18
1.3 0.24 -0.75 3.50 42.51 0.23
1.4 0.24 -0.58 3.85 44.23 0.28
1.5 0.33 -0.40 4.19 45.96 0.34
1.6 0.42 -0.23 4.54 47.69 0.41
1.7 0.42 -0.06 4.88 49.41 0.48
1.8 0.51 0.11 5.23 51.14 0.55
1.9 0.63 0.29 5.57 52.87 0.61
2.0 0.75 0.46 5.92 54.60 0.68
2.1 0.75 0.63 6.26 56.32 0.74
2.2 0.82 0.80 6.61 58.05 0.79
2.3 0.87 0.98 6.96 59.78 0.84
2.4 0.87 1.15 7.30 61.50 0.87
2.5 0.90 1.32 7.65 63.23 0.91
2.6 0.94 1.50 7.99 64.96 0.93
2.7 0.94 1.67 8.34 66.68 0.95
2.8 0.96 1.84 8.68 68.41 0.97
2.9 0.98 2.01 9.00 70.14 0.98
3.0 1.00 2.19 9.00 71.87 0.99

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.37 1.00 16.35 0.00
0.1 0.00 -3.17 1.00 18.31 0.00
0.2 0.00 -2.97 1.00 20.28 0.00
0.3 0.01 -2.78 1.00 22.24 0.00
0.4 0.01 -2.58 1.00 24.21 0.00
0.5 0.02 -2.38 1.00 26.17 0.01
0.6 0.02 -2.19 1.00 28.13 0.01
0.7 0.03 -1.99 1.02 30.10 0.02
0.8 0.04 -1.79 1.41 32.06 0.04
0.9 0.05 -1.60 1.80 34.02 0.06
1.0 0.09 -1.40 2.20 35.99 0.08
1.1 0.12 -1.20 2.59 37.95 0.11
1.2 0.15 -1.01 2.98 39.92 0.16
1.3 0.21 -0.81 3.38 41.88 0.21
1.4 0.25 -0.62 3.77 43.84 0.27
1.5 0.34 -0.42 4.16 45.81 0.34
1.6 0.40 -0.22 4.55 47.77 0.41
1.7 0.45 -0.03 4.95 49.74 0.49
1.8 0.58 0.17 5.34 51.70 0.57
1.9 0.64 0.37 5.73 53.66 0.64
2.0 0.76 0.56 6.13 55.63 0.71
2.1 0.80 0.76 6.52 57.59 0.78
2.2 0.83 0.96 6.91 59.56 0.83
2.3 0.89 1.15 7.30 61.52 0.88
2.4 0.91 1.35 7.70 63.48 0.91
2.5 0.95 1.54 8.09 65.45 0.94
2.6 0.96 1.74 8.48 67.41 0.96
2.7 0.97 1.94 8.88 69.38 0.97
2.8 0.99 2.13 9.00 71.34 0.98
2.9 0.99 2.33 9.00 73.30 0.99
3.0 1.00 2.53 9.00 75.27 0.99
norms <-
d_w_items %>% 
  select(ends_with("_mean")) %>% 
  map(~ compute_all_norms(., 
                          min_score = 0, 
                          max_score = 3, 
                          by = .1), 
      digits = 2)


p_norm1 <- 
norms %>% 
  pluck(1) %>%
  ggplot(aes(x = score, y = z)) +
  geom_line() +
  scale_y_continuous(breaks = c(-2, 0, 2)) +
  theme(strip.text = element_text(size = 14),
                axis.text = element_text(size =14))


p_norm2 <-
norms %>% 
  pluck(1) %>%
  ggplot(aes(x = score, y = stanine)) +
  geom_line() + 
  scale_y_continuous(breaks = c(1, 5, 9)) +
  theme(strip.text = element_text(size = 14),
                axis.text = element_text(size =14))


p_norm3 <-
norms %>% 
  pluck(1) %>%
  ggplot(aes(x = score, y = perc_rank)) +
  geom_line() +
  labs(y = "Percentage")  +
  scale_y_continuous(breaks = c(0, .5, 1),
                     
                     labels = c("0%", "50%", "100%")) +
  theme(strip.text = element_text(size = 14),
                axis.text = element_text(size =14))


see::plots(p_norm1, p_norm2, p_norm3, tags = TRUE,
           n_rows = 3)

# 
# see::plots(p_norm1, p_norm2, p_norm3, tags = TRUE,
#            n_rows = 3,
#            title =  "FMI-13R mean value (x-axis) vs. different norm values (y-axis)")

5 Item statistics and reliability

5.1 FMI14

Item statistics:

fmi14_desc1 <- 
d_w_items |> 
  select(starts_with("ffa_", ignore.case = FALSE)) |> 
  psych::alpha()

col_names <- c("Nr.", "mean", "*SD*", "*r<sub>it</sub>*", "*r<sub>it</sub> dropped*")

fmi14_desc1[["item.stats"]] |> 
  mutate(nr = 1:14) |> 
  select(nr, mean, sd, r.cor, r.drop) |> 
    kable(col.names = col_names, escape = FALSE, digits = 2, row.names = FALSE)
Nr. mean SD rit rit dropped
1 1.91 0.85 0.53 0.49
2 1.51 0.89 0.50 0.46
3 1.42 0.86 0.49 0.45
4 1.89 0.86 0.62 0.57
5 1.84 0.83 0.67 0.63
6 1.80 0.82 0.65 0.60
7 1.78 0.84 0.68 0.63
8 1.84 0.77 0.53 0.49
9 1.71 0.84 0.66 0.61
10 1.72 0.85 0.67 0.62
11 1.74 0.84 0.68 0.64
12 1.54 0.86 0.66 0.61
13 1.67 0.90 0.01 0.00
14 1.60 0.84 0.55 0.51

Omega:

fmi14_omega <- 
d_w_items |> 
  select(starts_with("ffa_", ignore.case = FALSE)) |> 
  psych::omega(nfactors = 1)

fmi14_omega
## Omega 
## Call: omegah(m = m, nfactors = nfactors, fm = fm, key = key, flip = flip, 
##     digits = digits, title = title, sl = sl, labels = labels, 
##     plot = plot, n.obs = n.obs, rotate = rotate, Phi = Phi, option = option, 
##     covar = covar)
## Alpha:                 0.87 
## G.6:                   0.87 
## Omega Hierarchical:    0.87 
## Omega H asymptotic:    1 
## Omega Total            0.87 
## 
## Schmid Leiman Factor loadings greater than  0.2 
##            g  F1*   h2   h2   u2 p2 com
## ffa_1   0.53      0.28 0.28 0.72  1   1
## ffa_2   0.51      0.26 0.26 0.74  1   1
## ffa_3   0.49      0.24 0.24 0.76  1   1
## ffa_4   0.61      0.37 0.37 0.63  1   1
## ffa_5   0.67      0.45 0.45 0.55  1   1
## ffa_6   0.65      0.43 0.43 0.57  1   1
## ffa_7   0.69      0.47 0.47 0.53  1   1
## ffa_8   0.53      0.28 0.28 0.72  1   1
## ffa_9   0.65      0.42 0.42 0.58  1   1
## ffa_10  0.67      0.45 0.45 0.55  1   1
## ffa_11  0.67      0.45 0.45 0.55  1   1
## ffa_12  0.66      0.43 0.43 0.57  1   1
## ffa_13r                0.00 1.00  1   1
## ffa_14  0.56      0.31 0.31 0.69  1   1
## 
## With Sums of squares  of:
##   g F1*  h2 
## 4.9 0.0 1.9 
## 
## general/max  2.55   max/min =   1.939515e+16
## mean percent general =  1    with sd =  0 and cv of  0 
## Explained Common Variance of the general factor =  1 
## 
## The degrees of freedom are 77  and the fit is  0.4 
## The number of observations was  1012  with Chi Square =  402.03  with prob <  1.7e-45
## The root mean square of the residuals is  0.05 
## The df corrected root mean square of the residuals is  0.05
## RMSEA index =  0.065  and the 10 % confidence intervals are  0.058 0.071
## BIC =  -130.78
## 
## Compare this with the adequacy of just a general factor and no group factors
## The degrees of freedom for just the general factor are 77  and the fit is  0.4 
## The number of observations was  1012  with Chi Square =  402.03  with prob <  1.7e-45
## The root mean square of the residuals is  0.05 
## The df corrected root mean square of the residuals is  0.05 
## 
## RMSEA index =  0.065  and the 10 % confidence intervals are  0.058 0.071
## BIC =  -130.78 
## 
## Measures of factor score adequacy             
##                                                  g F1*
## Correlation of scores with factors            0.94   0
## Multiple R square of scores with factors      0.89   0
## Minimum correlation of factor score estimates 0.78  -1
## 
##  Total, General and Subset omega for each subset
##                                                  g  F1*
## Omega total for total scores and subscales    0.87 0.87
## Omega general for total scores and subscales  0.87 0.87
## Omega group for total scores and subscales    0.00 0.00

5.2 FMI13-R

fmi13_desc1 <- 
d_w_items |> 
  select(starts_with("ffa_", ignore.case = FALSE)) |> 
  select(-ffa_13r) |> 
  psych::alpha()

col_names <- c("Nr.", "mean", "*SD*", "*r<sub>it</sub>*", "*r<sub>it</sub> dropped*")

fmi13_desc1[["item.stats"]] |> 
  mutate(nr = 1:13) |> 
  select(nr, mean, sd, r.cor, r.drop) |> 
    kable(col.names = col_names, escape = FALSE, digits = 2, row.names = FALSE)
Nr. mean SD rit rit dropped
1 1.91 0.85 0.53 0.50
2 1.51 0.89 0.52 0.49
3 1.42 0.86 0.50 0.47
4 1.89 0.86 0.61 0.57
5 1.84 0.83 0.67 0.63
6 1.80 0.82 0.65 0.61
7 1.78 0.84 0.68 0.64
8 1.84 0.77 0.53 0.50
9 1.71 0.84 0.64 0.60
10 1.72 0.85 0.67 0.63
11 1.74 0.84 0.67 0.63
12 1.54 0.86 0.66 0.62
13 1.60 0.84 0.56 0.52

Omega:

fmi13_omega <- 
d_w_items |> 
  select(starts_with("ffa_", ignore.case = FALSE)) |> 
  select(-ffa_13r) |> 
  psych::omega(nfactors = 1)

fmi13_omega
## Omega 
## Call: omegah(m = m, nfactors = nfactors, fm = fm, key = key, flip = flip, 
##     digits = digits, title = title, sl = sl, labels = labels, 
##     plot = plot, n.obs = n.obs, rotate = rotate, Phi = Phi, option = option, 
##     covar = covar)
## Alpha:                 0.88 
## G.6:                   0.88 
## Omega Hierarchical:    0.88 
## Omega H asymptotic:    1 
## Omega Total            0.88 
## 
## Schmid Leiman Factor loadings greater than  0.2 
##           g  F1*   h2   h2   u2 p2 com
## ffa_1  0.53      0.28 0.28 0.72  1   1
## ffa_2  0.51      0.26 0.26 0.74  1   1
## ffa_3  0.49      0.24 0.24 0.76  1   1
## ffa_4  0.61      0.37 0.37 0.63  1   1
## ffa_5  0.67      0.45 0.45 0.55  1   1
## ffa_6  0.65      0.43 0.43 0.57  1   1
## ffa_7  0.69      0.47 0.47 0.53  1   1
## ffa_8  0.53      0.28 0.28 0.72  1   1
## ffa_9  0.65      0.42 0.42 0.58  1   1
## ffa_10 0.67      0.45 0.45 0.55  1   1
## ffa_11 0.67      0.45 0.45 0.55  1   1
## ffa_12 0.66      0.43 0.43 0.57  1   1
## ffa_14 0.56      0.31 0.31 0.69  1   1
## 
## With Sums of squares  of:
##   g F1*  h2 
## 4.9 0.0 1.9 
## 
## general/max  2.55   max/min =   Inf
## mean percent general =  1    with sd =  0 and cv of  0 
## Explained Common Variance of the general factor =  1 
## 
## The degrees of freedom are 65  and the fit is  0.32 
## The number of observations was  1012  with Chi Square =  323.71  with prob <  5.3e-36
## The root mean square of the residuals is  0.04 
## The df corrected root mean square of the residuals is  0.05
## RMSEA index =  0.063  and the 10 % confidence intervals are  0.056 0.07
## BIC =  -126.07
## 
## Compare this with the adequacy of just a general factor and no group factors
## The degrees of freedom for just the general factor are 65  and the fit is  0.32 
## The number of observations was  1012  with Chi Square =  323.71  with prob <  5.3e-36
## The root mean square of the residuals is  0.04 
## The df corrected root mean square of the residuals is  0.05 
## 
## RMSEA index =  0.063  and the 10 % confidence intervals are  0.056 0.07
## BIC =  -126.07 
## 
## Measures of factor score adequacy             
##                                                  g F1*
## Correlation of scores with factors            0.94   0
## Multiple R square of scores with factors      0.89   0
## Minimum correlation of factor score estimates 0.78  -1
## 
##  Total, General and Subset omega for each subset
##                                                  g  F1*
## Omega total for total scores and subscales    0.88 0.88
## Omega general for total scores and subscales  0.88 0.88
## Omega group for total scores and subscales    0.00 0.00

6 CFA

rename the items for the sake of brevity:

fmi_items <- 
 d_w_items %>%
  select(starts_with("ffa"), mindfulness_experience) |> 
  rename_with(~ gsub("^ffa_(\\d+[a-zA-Z]?)$", "i\\1", .), 
              starts_with("ffa_"))

6.1 Setup

cfa_results <- list()

get_results_list <- function(cfa_model, model_name) {
  out <- list()
  
  out <- list(
    obj_name = deparse(substitute(cfa_model)),
    model_name = model_name,
   # overview = list(summary(cfa_model)),
    cfi = fitMeasures(cfa_model)["cfi"],
    tli = fitMeasures(cfa_model)["tli"],
    rmsea = fitMeasures(cfa_model)["rmsea"],
    srmr = fitMeasures(cfa_model)["srmr"]
  )
}

6.1.1 Tetrachoric correlation matrix

polychoric_r <- polychoric(fmi_items |> select(-mindfulness_experience))

polychoric_rho <- polychoric_r$rho

polychoric_rho[lower.tri(polychoric_r$rho, diag = FALSE)] <- NA

polychoric_rho |> kable( digits = 2)
i1 i2 i3 i4 i5 i6 i7 i8 i9 i10 i11 i12 i13r i14
i1 1 0.4 0.34 0.35 0.40 0.37 0.48 0.38 0.38 0.40 0.39 0.36 -0.01 0.36
i2 NA 1.0 0.48 0.31 0.44 0.30 0.41 0.32 0.28 0.39 0.35 0.39 -0.15 0.35
i3 NA NA 1.00 0.30 0.39 0.31 0.40 0.29 0.29 0.41 0.33 0.40 -0.15 0.34
i4 NA NA NA 1.00 0.55 0.57 0.47 0.33 0.51 0.43 0.49 0.45 0.09 0.40
i5 NA NA NA NA 1.00 0.53 0.53 0.39 0.43 0.58 0.53 0.46 0.03 0.40
i6 NA NA NA NA NA 1.00 0.56 0.42 0.51 0.47 0.50 0.47 0.03 0.42
i7 NA NA NA NA NA NA 1.00 0.50 0.49 0.51 0.49 0.49 -0.03 0.42
i8 NA NA NA NA NA NA NA 1.00 0.43 0.43 0.41 0.39 -0.04 0.30
i9 NA NA NA NA NA NA NA NA 1.00 0.54 0.55 0.57 0.11 0.43
i10 NA NA NA NA NA NA NA NA NA 1.00 0.56 0.50 0.01 0.40
i11 NA NA NA NA NA NA NA NA NA NA 1.00 0.56 0.14 0.43
i12 NA NA NA NA NA NA NA NA NA NA NA 1.00 0.02 0.49
i13r NA NA NA NA NA NA NA NA NA NA NA NA 1.00 -0.06
i14 NA NA NA NA NA NA NA NA NA NA NA NA NA 1.00

6.2 One general mindfulness factor, including item 13

FMI14 <- 
  "General_Factor=~i1+i2+i3+i4+i5+i6+i7+i8+i9+i10+i11+i12+i13r+i14"

6.2.1 items as categorical, Pearson

one_factor_ordered_pearson <- cfa(FMI14, 
                          data = fmi_items,
                          estimator = "DWLS",
                          ordered = TRUE)

cfa_results[["FMI-14, ordered, Pearson"]] <- 
  get_results_list(one_factor_ordered_pearson,
                   model_name = "FMI-14, ordered, Pearson")

6.2.2 items as categorical, Polychoric

one_factor_ordered_polychoric <- cfa(FMI14, 
                                      data = fmi_items,
                                      estimator = "DWLS",
                                      sample.cov = polychoric_rho,
                                      ordered = TRUE)

cfa_results[["FMI-14, ordered, polychoric"]] <- 
  get_results_list(one_factor_ordered_polychoric,
                   model_name = "FMI-14, ordered, polychoric")

6.2.3 items as numerical

one_factor_numeric <- cfa(FMI14, data = fmi_items)

  cfa_results[["FMI-14, numeric"]] <- 
  get_results_list(one_factor_numeric,
                   model_name = "FMI-14, numeric")

6.2.4 items as categorical, Polychoric, mindfulness practitioners only

one_factor_ordered_polychoric_practitioners <- cfa(FMI14, 
                                     data = fmi_items |> filter(mindfulness_experience == 1),
                                      estimator = "DWLS",
                                      sample.cov = polychoric_rho,
                                      ordered = TRUE)

cfa_results[["FMI-14, ordered, polychoric, mindfulness practitioners"]] <- 
  get_results_list(one_factor_ordered_polychoric_practitioners,
                   model_name = "FMI-14, ordered, polychoric, mindfulness practitioners")

6.3 Two factors (presence, acceptance) without item 13, correlated factors

FMI13R <- "
# Presence:
presence =~ i1 + i2 + i3 + i5 + i7 + i10 

acceptance =~ i4 + i6 + i8 + i9 + i11 + i12 + i14

presence ~~ acceptance
"

6.3.1 items as numeric:

two_factors_numeric <- cfa(FMI13R,
                           data = fmi_items)

cfa_results[["FMI-13R, numeric"]] <-
  get_results_list(two_factors_numeric,
                   model_name = "FMI-13R, numeric")

6.3.2 items as categorical, Pearson

model_two_dim_wo_13_ordered <- cfa(FMI13R,
                                   data = fmi_items,
                                   estimator = "DWLS",
                                   ordered = TRUE)


cfa_results[["FMI-13R, ordered, Pearson"]] <-
  get_results_list(model_two_dim_wo_13_ordered,
                   model_name = "FMI-13R, ordered, Pearson")

6.3.3 items as categorical, Polychoric

model_two_dim_wo_13_ordered_poly<- cfa(FMI13R,
                                   data = fmi_items,
                                   estimator = "DWLS",
                                   sample.cov = polychoric_rho,
                                   ordered = TRUE)


cfa_results[["FMI-13R, ordered, polychoric"]] <-
  get_results_list(model_two_dim_wo_13_ordered_poly,
                   "FMI-13R, ordered, polychoric")

6.3.4 Plot

semPaths(model_two_dim_wo_13_ordered_poly,
         what = "path",
         whatLabels = "stand",
         layout = "circle",
        # sizeMan = 3,
         #style = "lisrel",
         residuals = FALSE,
         #fixed = FALSE,
         intercepts = FALSE,
         normalize = FALSE,
         thresholds = F,
         width = 12,
         height = 6,
        # rotation = 2,
        # intAtSide = TRUE,
       #  nCharNodes = 0
)
title("Two factors, ordered, polychoric")

Standardized parameters are shown (loadings, correlations).

6.4 Two correlated factors, individuals with meditation practice only

6.4.1 items as numeric

model_two_dim_wo_13_meditators_only <- 
  cfa(FMI13R,
      data = fmi_items |> filter(mindfulness_experience == 1))


cfa_results[["FMI-13R, numeric, mindfulness practitioners"]] <-
  get_results_list(model_two_dim_wo_13_meditators_only,
                   model_name = "FMI-13R, numeric, mindfulness practitioners")

6.4.2 items as categorical, Pearson

model_two_dim_wo_13_meditators_only_categorical <- 
  cfa(FMI13R,
      estimator = "DWLS",
      ordered = TRUE,
      data = fmi_items |> filter(mindfulness_experience == 1))

cfa_results[["FMI-13R, ordered, Pearson, mindfulness practitioners"]] <-
  get_results_list(model_two_dim_wo_13_meditators_only_categorical,
                   model_name = "FMI-13R, ordered, Pearson, mindfulness practitioners")

6.4.3 items as categorical, polychoric

model_two_dim_wo_13_meditators_only_categorical_poly <- 
  cfa(FMI13R,
      estimator = "DWLS",
      ordered = TRUE,
      data = fmi_items |> filter(mindfulness_experience == 1))

cfa_results[["FMI-13R, ordered, polychoric, mindfulness practitioners"]] <-
  get_results_list(model_two_dim_wo_13_meditators_only_categorical_poly,
                   model_name = "FMI-13R, ordered, polychoric, mindfulness practitioners")

6.5 Results

cfa_results_df <-
  do.call(rbind, lapply(cfa_results, as.data.frame))

cfa_results_df |> 
  select(-obj_name) |> 
  mutate(Nr = 1:nrow(cfa_results_df)) |> 
  rename(Model = model_name,
         CFI = cfi,
         TLI = tli,
         RMSEA = rmsea,
         SRMR = srmr) |> 
  relocate(Nr, .before = everything()) |> 
  kable(digits = 2, row.names = FALSE)
Nr Model CFI TLI RMSEA SRMR
1 FMI-14, ordered, Pearson 0.99 0.99 0.06 0.05
2 FMI-14, ordered, polychoric 0.99 0.99 0.06 0.05
3 FMI-14, numeric 0.92 0.91 0.06 0.04
4 FMI-14, ordered, polychoric, mindfulness practitioners 1.00 1.00 0.03 0.04
5 FMI-13R, numeric 0.95 0.94 0.06 0.04
6 FMI-13R, ordered, Pearson 0.99 0.99 0.05 0.04
7 FMI-13R, ordered, polychoric 0.99 0.99 0.05 0.04
8 FMI-13R, numeric, mindfulness practitioners 0.97 0.97 0.04 0.03
9 FMI-13R, ordered, Pearson, mindfulness practitioners 1.00 1.00 0.02 0.04
10 FMI-13R, ordered, polychoric, mindfulness practitioners 1.00 1.00 0.02 0.04

7 Norm values for different subgroups

The following subgroup variables were considered:

subgroup_vars <- c("Geschlecht", "Achts_regel", "Retreats", "Vip_regel", "age_below_md")
subgroup_vars
## [1] "Geschlecht"   "Achts_regel"  "Retreats"     "Vip_regel"    "age_below_md"

7.1 Split by sex

7.1.1 Stats

d_w_items %>% 
  #filter(Geschlecht %in% c("männlich", "weiblich")) %>% 
  mutate(Geschlecht = as.character(Geschlecht)) %>% 
  describe_fmi_stats(
                     var = Geschlecht)
Geschlecht=female
Variable Mean Mean_01 SD Range Quartiles Skewness Kurtosis n n_Missing
acceptance13_mean 1.73 0.58 0.57 (0.00, 3.00) 1.29, 2.07 -0.09 -0.13 515 0
fmi13_mean 1.71 0.57 0.51 (0.21, 3.00) 1.36, 2.07 -0.11 -0.27 515 0
fmi14_mean 1.71 0.57 0.51 (0.21, 3.00) 1.36, 2.07 -0.11 -0.27 515 0
presence_mean 1.72 0.57 0.58 (0.00, 3.00) 1.33, 2.00 -0.11 -0.10 515 0
Geschlecht=male
Variable Mean Mean_01 SD Range Quartiles Skewness Kurtosis n n_Missing
acceptance13_mean 1.74 0.58 0.59 (0.00, 3.00) 1.43, 2.00 -0.34 0.65 495 0
fmi13_mean 1.71 0.57 0.51 (0.21, 3.00) 1.43, 2.00 -0.19 0.58 495 0
fmi14_mean 1.71 0.57 0.51 (0.21, 3.00) 1.43, 2.00 -0.19 0.58 495 0
presence_mean 1.67 0.56 0.60 (0.00, 3.00) 1.33, 2.00 -0.35 0.42 495 0
Geschlecht=other
Variable Mean Mean_01 SD Range Quartiles Skewness Kurtosis n n_Missing
acceptance13_mean 1.79 0.60 0.51 (1.43, 2.14) 1.61, 1.96 9.14e-16 -2.00 2 0
fmi13_mean 1.50 0.50 0.20 (1.36, 1.64) 1.43, 1.57 0.00 -2.00 2 0
fmi14_mean 1.50 0.50 0.20 (1.36, 1.64) 1.43, 1.57 0.00 -2.00 2 0
presence_mean 1.33 0.44 0.00 (1.33, 1.33) 1.33, 1.33 2 0

Plot:

plot_fmi_descriptives(data = d_w_items,
                      var = Geschlecht) 

7.1.2 Norms

for (i in unique(d_w_items$Geschlecht)) { 
  cat("Group: ", i, "\n")
  d_w_items %>% 
    filter(Geschlecht == i) %>% 
    select(ends_with("_mean")) %>% 
    map(~ knitr::kable(compute_all_norms(., min_score = 0, max_score = 3, by = .1), 
                       digits = 2))  %>% print()
}

Group: male $fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.33 1.00 16.67 0.00
0.1 0.00 -3.14 1.00 18.61 0.00
0.2 0.00 -2.94 1.00 20.56 0.00
0.3 0.01 -2.75 1.00 22.50 0.00
0.4 0.02 -2.55 1.00 24.45 0.01
0.5 0.02 -2.36 1.00 26.40 0.01
0.6 0.03 -2.17 1.00 28.34 0.02
0.7 0.03 -1.97 1.06 30.29 0.02
0.8 0.05 -1.78 1.45 32.23 0.04
0.9 0.05 -1.58 1.84 34.18 0.06
1.0 0.08 -1.39 2.23 36.13 0.08
1.1 0.12 -1.19 2.61 38.07 0.12
1.2 0.15 -1.00 3.00 40.02 0.16
1.3 0.19 -0.80 3.39 41.96 0.21
1.4 0.23 -0.61 3.78 43.91 0.27
1.5 0.33 -0.41 4.17 45.86 0.34
1.6 0.39 -0.22 4.56 47.80 0.41
1.7 0.46 -0.03 4.95 49.75 0.49
1.8 0.59 0.17 5.34 51.69 0.57
1.9 0.65 0.36 5.73 53.64 0.64
2.0 0.77 0.56 6.12 55.58 0.71
2.1 0.81 0.75 6.51 57.53 0.77
2.2 0.84 0.95 6.90 59.48 0.83
2.3 0.90 1.14 7.28 61.42 0.87
2.4 0.91 1.34 7.67 63.37 0.91
2.5 0.94 1.53 8.06 65.31 0.94
2.6 0.96 1.73 8.45 67.26 0.96
2.7 0.96 1.92 8.84 69.21 0.97
2.8 0.98 2.12 9.00 71.15 0.98
2.9 0.98 2.31 9.00 73.10 0.99
3.0 1.00 2.50 9.00 75.04 0.99

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0.02 -2.77 1.00 22.27 0.00
0.1 0.02 -2.61 1.00 23.92 0.00
0.2 0.03 -2.44 1.00 25.58 0.01
0.3 0.03 -2.28 1.00 27.24 0.01
0.4 0.04 -2.11 1.00 28.90 0.02
0.5 0.05 -1.94 1.11 30.55 0.03
0.6 0.05 -1.78 1.44 32.21 0.04
0.7 0.07 -1.61 1.77 33.87 0.05
0.8 0.07 -1.45 2.11 35.53 0.07
0.9 0.10 -1.28 2.44 37.18 0.10
1.0 0.15 -1.12 2.77 38.84 0.13
1.1 0.15 -0.95 3.10 40.50 0.17
1.2 0.21 -0.78 3.43 42.15 0.22
1.3 0.21 -0.62 3.76 43.81 0.27
1.4 0.29 -0.45 4.09 45.47 0.33
1.5 0.40 -0.29 4.43 47.13 0.39
1.6 0.40 -0.12 4.76 48.78 0.45
1.7 0.53 0.04 5.09 50.44 0.52
1.8 0.53 0.21 5.42 52.10 0.58
1.9 0.65 0.38 5.75 53.76 0.65
2.0 0.78 0.54 6.08 55.41 0.71
2.1 0.78 0.71 6.41 57.07 0.76
2.2 0.86 0.87 6.75 58.73 0.81
2.3 0.86 1.04 7.08 60.38 0.85
2.4 0.90 1.20 7.41 62.04 0.89
2.5 0.94 1.37 7.74 63.70 0.91
2.6 0.94 1.54 8.07 65.36 0.94
2.7 0.96 1.70 8.40 67.01 0.96
2.8 0.96 1.87 8.73 68.67 0.97
2.9 0.97 2.03 9.00 70.33 0.98
3.0 1.00 2.20 9.00 71.99 0.99

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.01 -2.96 1.00 20.4 0.00
0.1 0.01 -2.79 1.00 22.1 0.00
0.2 0.02 -2.62 1.00 23.8 0.00
0.3 0.03 -2.45 1.00 25.5 0.01
0.4 0.03 -2.28 1.00 27.2 0.01
0.5 0.03 -2.11 1.00 28.9 0.02
0.6 0.04 -1.94 1.12 30.6 0.03
0.7 0.04 -1.77 1.46 32.3 0.04
0.8 0.05 -1.60 1.80 34.0 0.05
0.9 0.06 -1.43 2.14 35.7 0.08
1.0 0.12 -1.26 2.48 37.4 0.10
1.1 0.12 -1.09 2.82 39.1 0.14
1.2 0.15 -0.92 3.16 40.8 0.18
1.3 0.22 -0.75 3.50 42.5 0.23
1.4 0.22 -0.58 3.84 44.2 0.28
1.5 0.31 -0.41 4.18 45.9 0.34
1.6 0.41 -0.24 4.52 47.6 0.41
1.7 0.41 -0.07 4.86 49.3 0.47
1.8 0.51 0.10 5.20 51.0 0.54
1.9 0.62 0.27 5.54 52.7 0.61
2.0 0.76 0.44 5.88 54.4 0.67
2.1 0.76 0.61 6.22 56.1 0.73
2.2 0.82 0.78 6.56 57.8 0.78
2.3 0.86 0.95 6.90 59.5 0.83
2.4 0.86 1.12 7.24 61.2 0.87
2.5 0.90 1.29 7.58 62.9 0.90
2.6 0.94 1.46 7.92 64.6 0.93
2.7 0.94 1.63 8.26 66.3 0.95
2.8 0.96 1.80 8.60 68.0 0.96
2.9 0.97 1.97 8.94 69.7 0.98
3.0 1.00 2.14 9.00 71.4 0.98

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.33 1.00 16.67 0.00
0.1 0.00 -3.14 1.00 18.61 0.00
0.2 0.00 -2.94 1.00 20.56 0.00
0.3 0.01 -2.75 1.00 22.50 0.00
0.4 0.02 -2.55 1.00 24.45 0.01
0.5 0.02 -2.36 1.00 26.40 0.01
0.6 0.03 -2.17 1.00 28.34 0.02
0.7 0.03 -1.97 1.06 30.29 0.02
0.8 0.05 -1.78 1.45 32.23 0.04
0.9 0.05 -1.58 1.84 34.18 0.06
1.0 0.08 -1.39 2.23 36.13 0.08
1.1 0.12 -1.19 2.61 38.07 0.12
1.2 0.15 -1.00 3.00 40.02 0.16
1.3 0.19 -0.80 3.39 41.96 0.21
1.4 0.23 -0.61 3.78 43.91 0.27
1.5 0.33 -0.41 4.17 45.86 0.34
1.6 0.39 -0.22 4.56 47.80 0.41
1.7 0.46 -0.03 4.95 49.75 0.49
1.8 0.59 0.17 5.34 51.69 0.57
1.9 0.65 0.36 5.73 53.64 0.64
2.0 0.77 0.56 6.12 55.58 0.71
2.1 0.81 0.75 6.51 57.53 0.77
2.2 0.84 0.95 6.90 59.48 0.83
2.3 0.90 1.14 7.28 61.42 0.87
2.4 0.91 1.34 7.67 63.37 0.91
2.5 0.94 1.53 8.06 65.31 0.94
2.6 0.96 1.73 8.45 67.26 0.96
2.7 0.96 1.92 8.84 69.21 0.97
2.8 0.98 2.12 9.00 71.15 0.98
2.9 0.98 2.31 9.00 73.10 0.99
3.0 1.00 2.50 9.00 75.04 0.99

Group: female $fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.39 1.00 16.10 0.00
0.1 0.00 -3.19 1.00 18.08 0.00
0.2 0.00 -2.99 1.00 20.06 0.00
0.3 0.00 -2.80 1.00 22.03 0.00
0.4 0.00 -2.60 1.00 24.01 0.00
0.5 0.01 -2.40 1.00 25.99 0.01
0.6 0.01 -2.20 1.00 27.96 0.01
0.7 0.02 -2.01 1.00 29.94 0.02
0.8 0.04 -1.81 1.38 31.92 0.04
0.9 0.06 -1.61 1.78 33.89 0.05
1.0 0.10 -1.41 2.17 35.87 0.08
1.1 0.13 -1.22 2.57 37.85 0.11
1.2 0.15 -1.02 2.97 39.83 0.15
1.3 0.23 -0.82 3.36 41.80 0.21
1.4 0.28 -0.62 3.76 43.78 0.27
1.5 0.35 -0.42 4.15 45.76 0.34
1.6 0.40 -0.23 4.55 47.73 0.41
1.7 0.44 -0.03 4.94 49.71 0.49
1.8 0.57 0.17 5.34 51.69 0.57
1.9 0.62 0.37 5.73 53.66 0.64
2.0 0.75 0.56 6.13 55.64 0.71
2.1 0.79 0.76 6.52 57.62 0.78
2.2 0.83 0.96 6.92 59.59 0.83
2.3 0.88 1.16 7.31 61.57 0.88
2.4 0.90 1.35 7.71 63.55 0.91
2.5 0.95 1.55 8.10 65.52 0.94
2.6 0.97 1.75 8.50 67.50 0.96
2.7 0.97 1.95 8.90 69.48 0.97
2.8 1.00 2.15 9.00 71.45 0.98
2.9 1.00 2.34 9.00 73.43 0.99
3.0 1.00 2.54 9.00 75.41 0.99

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -2.95 1.00 20.46 0.00
0.1 0.00 -2.78 1.00 22.18 0.00
0.2 0.01 -2.61 1.00 23.89 0.00
0.3 0.01 -2.44 1.00 25.61 0.01
0.4 0.01 -2.27 1.00 27.32 0.01
0.5 0.03 -2.10 1.00 29.04 0.02
0.6 0.03 -1.92 1.15 30.75 0.03
0.7 0.06 -1.75 1.49 32.47 0.04
0.8 0.06 -1.58 1.84 34.19 0.06
0.9 0.09 -1.41 2.18 35.90 0.08
1.0 0.14 -1.24 2.52 37.62 0.11
1.1 0.14 -1.07 2.87 39.33 0.14
1.2 0.20 -0.90 3.21 41.05 0.19
1.3 0.20 -0.72 3.55 42.77 0.23
1.4 0.29 -0.55 3.90 44.48 0.29
1.5 0.39 -0.38 4.24 46.20 0.35
1.6 0.39 -0.21 4.58 47.91 0.42
1.7 0.50 -0.04 4.93 49.63 0.49
1.8 0.50 0.13 5.27 51.34 0.55
1.9 0.63 0.31 5.61 53.06 0.62
2.0 0.76 0.48 5.96 54.78 0.68
2.1 0.76 0.65 6.30 56.49 0.74
2.2 0.82 0.82 6.64 58.21 0.79
2.3 0.82 0.99 6.98 59.92 0.84
2.4 0.88 1.16 7.33 61.64 0.88
2.5 0.93 1.34 7.67 63.35 0.91
2.6 0.93 1.51 8.01 65.07 0.93
2.7 0.95 1.68 8.36 66.79 0.95
2.8 0.95 1.85 8.70 68.50 0.97
2.9 0.98 2.02 9.00 70.22 0.98
3.0 1.00 2.19 9.00 71.93 0.99

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.02 1.00 19.77 0.00
0.1 0.00 -2.85 1.00 21.52 0.00
0.2 0.00 -2.67 1.00 23.27 0.00
0.3 0.01 -2.50 1.00 25.02 0.01
0.4 0.01 -2.32 1.00 26.77 0.01
0.5 0.02 -2.15 1.00 28.53 0.02
0.6 0.03 -1.97 1.06 30.28 0.02
0.7 0.03 -1.80 1.41 32.03 0.04
0.8 0.05 -1.62 1.76 33.78 0.05
0.9 0.09 -1.45 2.11 35.53 0.07
1.0 0.14 -1.27 2.46 37.28 0.10
1.1 0.14 -1.10 2.81 39.03 0.14
1.2 0.18 -0.92 3.16 40.78 0.18
1.3 0.26 -0.75 3.51 42.53 0.23
1.4 0.26 -0.57 3.86 44.28 0.28
1.5 0.34 -0.40 4.21 46.03 0.35
1.6 0.42 -0.22 4.56 47.78 0.41
1.7 0.42 -0.05 4.91 49.53 0.48
1.8 0.51 0.13 5.26 51.28 0.55
1.9 0.63 0.30 5.61 53.03 0.62
2.0 0.75 0.48 5.96 54.78 0.68
2.1 0.75 0.65 6.31 56.53 0.74
2.2 0.83 0.83 6.66 58.28 0.80
2.3 0.87 1.00 7.01 60.03 0.84
2.4 0.87 1.18 7.36 61.79 0.88
2.5 0.90 1.35 7.71 63.54 0.91
2.6 0.93 1.53 8.06 65.29 0.94
2.7 0.93 1.70 8.41 67.04 0.96
2.8 0.97 1.88 8.76 68.79 0.97
2.9 0.98 2.05 9.00 70.54 0.98
3.0 1.00 2.23 9.00 72.29 0.99

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.39 1.00 16.10 0.00
0.1 0.00 -3.19 1.00 18.08 0.00
0.2 0.00 -2.99 1.00 20.06 0.00
0.3 0.00 -2.80 1.00 22.03 0.00
0.4 0.00 -2.60 1.00 24.01 0.00
0.5 0.01 -2.40 1.00 25.99 0.01
0.6 0.01 -2.20 1.00 27.96 0.01
0.7 0.02 -2.01 1.00 29.94 0.02
0.8 0.04 -1.81 1.38 31.92 0.04
0.9 0.06 -1.61 1.78 33.89 0.05
1.0 0.10 -1.41 2.17 35.87 0.08
1.1 0.13 -1.22 2.57 37.85 0.11
1.2 0.15 -1.02 2.97 39.83 0.15
1.3 0.23 -0.82 3.36 41.80 0.21
1.4 0.28 -0.62 3.76 43.78 0.27
1.5 0.35 -0.42 4.15 45.76 0.34
1.6 0.40 -0.23 4.55 47.73 0.41
1.7 0.44 -0.03 4.94 49.71 0.49
1.8 0.57 0.17 5.34 51.69 0.57
1.9 0.62 0.37 5.73 53.66 0.64
2.0 0.75 0.56 6.13 55.64 0.71
2.1 0.79 0.76 6.52 57.62 0.78
2.2 0.83 0.96 6.92 59.59 0.83
2.3 0.88 1.16 7.31 61.57 0.88
2.4 0.90 1.35 7.71 63.55 0.91
2.5 0.95 1.55 8.10 65.52 0.94
2.6 0.97 1.75 8.50 67.50 0.96
2.7 0.97 1.95 8.90 69.48 0.97
2.8 1.00 2.15 9.00 71.45 0.98
2.9 1.00 2.34 9.00 73.43 0.99
3.0 1.00 2.54 9.00 75.41 0.99

Group: other $fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.0 -7.42 1.00 -24.25 0.00
0.1 0.0 -6.93 1.00 -19.30 0.00
0.2 0.0 -6.43 1.00 -14.35 0.00
0.3 0.0 -5.94 1.00 -9.40 0.00
0.4 0.0 -5.44 1.00 -4.45 0.00
0.5 0.0 -4.95 1.00 0.50 0.00
0.6 0.0 -4.45 1.00 5.45 0.00
0.7 0.0 -3.96 1.00 10.40 0.00
0.8 0.0 -3.46 1.00 15.35 0.00
0.9 0.0 -2.97 1.00 20.30 0.00
1.0 0.0 -2.47 1.00 25.25 0.01
1.1 0.0 -1.98 1.04 30.20 0.02
1.2 0.0 -1.48 2.03 35.15 0.07
1.3 0.0 -0.99 3.02 40.10 0.16
1.4 0.5 -0.49 4.01 45.05 0.31
1.5 0.5 0.00 5.00 50.00 0.50
1.6 0.5 0.49 5.99 54.95 0.69
1.7 1.0 0.99 6.98 59.90 0.84
1.8 1.0 1.48 7.97 64.85 0.93
1.9 1.0 1.98 8.96 69.80 0.98
2.0 1.0 2.47 9.00 74.75 0.99
2.1 1.0 2.97 9.00 79.70 1.00
2.2 1.0 3.46 9.00 84.65 1.00
2.3 1.0 3.96 9.00 89.60 1.00
2.4 1.0 4.45 9.00 94.55 1.00
2.5 1.0 4.95 9.00 99.50 1.00
2.6 1.0 5.44 9.00 104.45 1.00
2.7 1.0 5.94 9.00 109.40 1.00
2.8 1.0 6.43 9.00 114.35 1.00
2.9 1.0 6.93 9.00 119.30 1.00
3.0 1.0 7.42 9.00 124.25 1.00

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0 -Inf 1 -Inf 0
0.1 0 -Inf 1 -Inf 0
0.2 0 -Inf 1 -Inf 0
0.3 0 -Inf 1 -Inf 0
0.4 0 -Inf 1 -Inf 0
0.5 0 -Inf 1 -Inf 0
0.6 0 -Inf 1 -Inf 0
0.7 0 -Inf 1 -Inf 0
0.8 0 -Inf 1 -Inf 0
0.9 0 -Inf 1 -Inf 0
1.0 0 -Inf 1 -Inf 0
1.1 0 -Inf 1 -Inf 0
1.2 0 -Inf 1 -Inf 0
1.3 0 -Inf 1 -Inf 0
1.4 1 Inf 9 Inf 1
1.5 1 Inf 9 Inf 1
1.6 1 Inf 9 Inf 1
1.7 1 Inf 9 Inf 1
1.8 1 Inf 9 Inf 1
1.9 1 Inf 9 Inf 1
2.0 1 Inf 9 Inf 1
2.1 1 Inf 9 Inf 1
2.2 1 Inf 9 Inf 1
2.3 1 Inf 9 Inf 1
2.4 1 Inf 9 Inf 1
2.5 1 Inf 9 Inf 1
2.6 1 Inf 9 Inf 1
2.7 1 Inf 9 Inf 1
2.8 1 Inf 9 Inf 1
2.9 1 Inf 9 Inf 1
3.0 1 Inf 9 Inf 1

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.0 -3.54 1.00 14.64 0.00
0.1 0.0 -3.34 1.00 16.62 0.00
0.2 0.0 -3.14 1.00 18.60 0.00
0.3 0.0 -2.94 1.00 20.58 0.00
0.4 0.0 -2.74 1.00 22.56 0.00
0.5 0.0 -2.55 1.00 24.54 0.01
0.6 0.0 -2.35 1.00 26.52 0.01
0.7 0.0 -2.15 1.00 28.50 0.02
0.8 0.0 -1.95 1.10 30.48 0.03
0.9 0.0 -1.75 1.49 32.46 0.04
1.0 0.0 -1.56 1.89 34.44 0.06
1.1 0.0 -1.36 2.28 36.42 0.09
1.2 0.0 -1.16 2.68 38.40 0.12
1.3 0.0 -0.96 3.08 40.38 0.17
1.4 0.0 -0.76 3.47 42.36 0.22
1.5 0.5 -0.57 3.87 44.34 0.29
1.6 0.5 -0.37 4.26 46.32 0.36
1.7 0.5 -0.17 4.66 48.30 0.43
1.8 0.5 0.03 5.06 50.28 0.51
1.9 0.5 0.23 5.45 52.26 0.59
2.0 0.5 0.42 5.85 54.24 0.66
2.1 0.5 0.62 6.24 56.22 0.73
2.2 1.0 0.82 6.64 58.20 0.79
2.3 1.0 1.02 7.04 60.18 0.85
2.4 1.0 1.22 7.43 62.16 0.89
2.5 1.0 1.41 7.83 64.14 0.92
2.6 1.0 1.61 8.22 66.12 0.95
2.7 1.0 1.81 8.62 68.10 0.96
2.8 1.0 2.01 9.00 70.08 0.98
2.9 1.0 2.21 9.00 72.06 0.99
3.0 1.0 2.40 9.00 74.04 0.99

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.0 -7.42 1.00 -24.25 0.00
0.1 0.0 -6.93 1.00 -19.30 0.00
0.2 0.0 -6.43 1.00 -14.35 0.00
0.3 0.0 -5.94 1.00 -9.40 0.00
0.4 0.0 -5.44 1.00 -4.45 0.00
0.5 0.0 -4.95 1.00 0.50 0.00
0.6 0.0 -4.45 1.00 5.45 0.00
0.7 0.0 -3.96 1.00 10.40 0.00
0.8 0.0 -3.46 1.00 15.35 0.00
0.9 0.0 -2.97 1.00 20.30 0.00
1.0 0.0 -2.47 1.00 25.25 0.01
1.1 0.0 -1.98 1.04 30.20 0.02
1.2 0.0 -1.48 2.03 35.15 0.07
1.3 0.0 -0.99 3.02 40.10 0.16
1.4 0.5 -0.49 4.01 45.05 0.31
1.5 0.5 0.00 5.00 50.00 0.50
1.6 0.5 0.49 5.99 54.95 0.69
1.7 1.0 0.99 6.98 59.90 0.84
1.8 1.0 1.48 7.97 64.85 0.93
1.9 1.0 1.98 8.96 69.80 0.98
2.0 1.0 2.47 9.00 74.75 0.99
2.1 1.0 2.97 9.00 79.70 1.00
2.2 1.0 3.46 9.00 84.65 1.00
2.3 1.0 3.96 9.00 89.60 1.00
2.4 1.0 4.45 9.00 94.55 1.00
2.5 1.0 4.95 9.00 99.50 1.00
2.6 1.0 5.44 9.00 104.45 1.00
2.7 1.0 5.94 9.00 109.40 1.00
2.8 1.0 6.43 9.00 114.35 1.00
2.9 1.0 6.93 9.00 119.30 1.00
3.0 1.0 7.42 9.00 124.25 1.00

7.2 Split by continuous mindfulness training

7.2.1 Stats

describe_fmi_stats(data = d_w_items,
                   var = Achts_regel)
Achts_regel=no
Variable Mean Mean_01 SD Range Quartiles Skewness Kurtosis n n_Missing
acceptance13_mean 1.72 0.57 0.59 (0.00, 3.00) 1.29, 2.00 -0.21 0.18 792 0
fmi13_mean 1.69 0.56 0.51 (0.21, 3.00) 1.36, 2.00 -0.16 0.05 792 0
fmi14_mean 1.69 0.56 0.51 (0.21, 3.00) 1.36, 2.00 -0.16 0.05 792 0
presence_mean 1.65 0.55 0.59 (0.00, 3.00) 1.33, 2.00 -0.23 0.13 792 0
Achts_regel=yes
Variable Mean Mean_01 SD Range Quartiles Skewness Kurtosis n n_Missing
acceptance13_mean 1.80 0.60 0.55 (0.00, 3.00) 1.43, 2.14 -0.19 0.64 220 0
fmi13_mean 1.81 0.60 0.49 (0.21, 3.00) 1.50, 2.07 -0.02 0.52 220 0
fmi14_mean 1.81 0.60 0.49 (0.21, 3.00) 1.50, 2.07 -0.02 0.52 220 0
presence_mean 1.86 0.62 0.56 (0.00, 3.00) 1.50, 2.17 -0.20 0.45 220 0
plot_fmi_descriptives(data = d_w_items,
                      var = Achts_regel)

7.2.2 Norms

for (i in unique(d_w_items$Achts_regel)) { 
  cat("Group: ", i, "\n")
  d_w_items %>% 
    filter(Achts_regel == i) %>% 
    select(ends_with("_mean")) %>% 
    map(~ knitr::kable(compute_all_norms(., min_score = 0, max_score = 3, by = .1), 
                       digits = 2)) %>% print()
}

Group: no $fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.29 1.00 17.11 0.00
0.1 0.00 -3.09 1.00 19.06 0.00
0.2 0.00 -2.90 1.00 21.01 0.00
0.3 0.01 -2.70 1.00 22.96 0.00
0.4 0.01 -2.51 1.00 24.91 0.01
0.5 0.02 -2.31 1.00 26.86 0.01
0.6 0.03 -2.12 1.00 28.81 0.02
0.7 0.03 -1.92 1.15 30.76 0.03
0.8 0.05 -1.73 1.54 32.71 0.04
0.9 0.06 -1.53 1.93 34.66 0.06
1.0 0.10 -1.34 2.32 36.61 0.09
1.1 0.13 -1.14 2.71 38.56 0.13
1.2 0.17 -0.95 3.10 40.51 0.17
1.3 0.23 -0.75 3.49 42.46 0.23
1.4 0.27 -0.56 3.88 44.41 0.29
1.5 0.36 -0.36 4.27 46.36 0.36
1.6 0.42 -0.17 4.66 48.31 0.43
1.7 0.48 0.03 5.05 50.26 0.51
1.8 0.60 0.22 5.44 52.21 0.59
1.9 0.65 0.42 5.83 54.16 0.66
2.0 0.78 0.61 6.22 56.11 0.73
2.1 0.81 0.81 6.61 58.06 0.79
2.2 0.84 1.00 7.00 60.01 0.84
2.3 0.90 1.20 7.39 61.97 0.88
2.4 0.91 1.39 7.78 63.92 0.92
2.5 0.95 1.59 8.17 65.87 0.94
2.6 0.97 1.78 8.56 67.82 0.96
2.7 0.97 1.98 8.95 69.77 0.98
2.8 0.99 2.17 9.00 71.72 0.99
2.9 0.99 2.37 9.00 73.67 0.99
3.0 1.00 2.56 9.00 75.62 0.99

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0.01 -2.78 1.00 22.18 0.00
0.1 0.01 -2.61 1.00 23.87 0.00
0.2 0.02 -2.44 1.00 25.55 0.01
0.3 0.02 -2.28 1.00 27.23 0.01
0.4 0.03 -2.11 1.00 28.92 0.02
0.5 0.05 -1.94 1.12 30.60 0.03
0.6 0.05 -1.77 1.46 32.28 0.04
0.7 0.07 -1.60 1.79 33.97 0.05
0.8 0.07 -1.44 2.13 35.65 0.08
0.9 0.10 -1.27 2.47 37.33 0.10
1.0 0.16 -1.10 2.80 39.02 0.14
1.1 0.16 -0.93 3.14 40.70 0.18
1.2 0.23 -0.76 3.48 42.38 0.22
1.3 0.23 -0.59 3.81 44.07 0.28
1.4 0.32 -0.43 4.15 45.75 0.34
1.5 0.43 -0.26 4.49 47.43 0.40
1.6 0.43 -0.09 4.82 49.12 0.46
1.7 0.55 0.08 5.16 50.80 0.53
1.8 0.55 0.25 5.50 52.48 0.60
1.9 0.67 0.42 5.83 54.16 0.66
2.0 0.79 0.58 6.17 55.85 0.72
2.1 0.79 0.75 6.51 57.53 0.77
2.2 0.85 0.92 6.84 59.21 0.82
2.3 0.85 1.09 7.18 60.90 0.86
2.4 0.90 1.26 7.52 62.58 0.90
2.5 0.94 1.43 7.85 64.26 0.92
2.6 0.94 1.59 8.19 65.95 0.94
2.7 0.97 1.76 8.53 67.63 0.96
2.8 0.97 1.93 8.86 69.31 0.97
2.9 0.98 2.10 9.00 71.00 0.98
3.0 1.00 2.27 9.00 72.68 0.99

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.01 -2.92 1.00 20.78 0.00
0.1 0.01 -2.75 1.00 22.49 0.00
0.2 0.01 -2.58 1.00 24.19 0.00
0.3 0.02 -2.41 1.00 25.89 0.01
0.4 0.02 -2.24 1.00 27.60 0.01
0.5 0.03 -2.07 1.00 29.30 0.02
0.6 0.04 -1.90 1.20 31.00 0.03
0.7 0.04 -1.73 1.54 32.71 0.04
0.8 0.06 -1.56 1.88 34.41 0.06
0.9 0.09 -1.39 2.22 36.12 0.08
1.0 0.14 -1.22 2.56 37.82 0.11
1.1 0.14 -1.05 2.90 39.52 0.15
1.2 0.18 -0.88 3.25 41.23 0.19
1.3 0.26 -0.71 3.59 42.93 0.24
1.4 0.26 -0.54 3.93 44.63 0.30
1.5 0.34 -0.37 4.27 46.34 0.36
1.6 0.43 -0.20 4.61 48.04 0.42
1.7 0.43 -0.03 4.95 49.74 0.49
1.8 0.53 0.14 5.29 51.45 0.56
1.9 0.64 0.32 5.63 53.15 0.62
2.0 0.76 0.49 5.97 54.86 0.69
2.1 0.76 0.66 6.31 56.56 0.74
2.2 0.82 0.83 6.65 58.26 0.80
2.3 0.87 1.00 6.99 59.97 0.84
2.4 0.87 1.17 7.33 61.67 0.88
2.5 0.90 1.34 7.67 63.37 0.91
2.6 0.94 1.51 8.02 65.08 0.93
2.7 0.94 1.68 8.36 66.78 0.95
2.8 0.96 1.85 8.70 68.48 0.97
2.9 0.98 2.02 9.00 70.19 0.98
3.0 1.00 2.19 9.00 71.89 0.99

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.29 1.00 17.11 0.00
0.1 0.00 -3.09 1.00 19.06 0.00
0.2 0.00 -2.90 1.00 21.01 0.00
0.3 0.01 -2.70 1.00 22.96 0.00
0.4 0.01 -2.51 1.00 24.91 0.01
0.5 0.02 -2.31 1.00 26.86 0.01
0.6 0.03 -2.12 1.00 28.81 0.02
0.7 0.03 -1.92 1.15 30.76 0.03
0.8 0.05 -1.73 1.54 32.71 0.04
0.9 0.06 -1.53 1.93 34.66 0.06
1.0 0.10 -1.34 2.32 36.61 0.09
1.1 0.13 -1.14 2.71 38.56 0.13
1.2 0.17 -0.95 3.10 40.51 0.17
1.3 0.23 -0.75 3.49 42.46 0.23
1.4 0.27 -0.56 3.88 44.41 0.29
1.5 0.36 -0.36 4.27 46.36 0.36
1.6 0.42 -0.17 4.66 48.31 0.43
1.7 0.48 0.03 5.05 50.26 0.51
1.8 0.60 0.22 5.44 52.21 0.59
1.9 0.65 0.42 5.83 54.16 0.66
2.0 0.78 0.61 6.22 56.11 0.73
2.1 0.81 0.81 6.61 58.06 0.79
2.2 0.84 1.00 7.00 60.01 0.84
2.3 0.90 1.20 7.39 61.97 0.88
2.4 0.91 1.39 7.78 63.92 0.92
2.5 0.95 1.59 8.17 65.87 0.94
2.6 0.97 1.78 8.56 67.82 0.96
2.7 0.97 1.98 8.95 69.77 0.98
2.8 0.99 2.17 9.00 71.72 0.99
2.9 0.99 2.37 9.00 73.67 0.99
3.0 1.00 2.56 9.00 75.62 0.99

Group: yes $fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.73 1.00 12.68 0.00
0.1 0.00 -3.53 1.00 14.74 0.00
0.2 0.00 -3.32 1.00 16.80 0.00
0.3 0.01 -3.11 1.00 18.86 0.00
0.4 0.01 -2.91 1.00 20.92 0.00
0.5 0.01 -2.70 1.00 22.99 0.00
0.6 0.01 -2.50 1.00 25.05 0.01
0.7 0.01 -2.29 1.00 27.11 0.01
0.8 0.02 -2.08 1.00 29.17 0.02
0.9 0.02 -1.88 1.25 31.23 0.03
1.0 0.06 -1.67 1.66 33.29 0.05
1.1 0.08 -1.46 2.07 35.35 0.07
1.2 0.09 -1.26 2.48 37.42 0.10
1.3 0.14 -1.05 2.90 39.48 0.15
1.4 0.19 -0.85 3.31 41.54 0.20
1.5 0.27 -0.64 3.72 43.60 0.26
1.6 0.32 -0.43 4.13 45.66 0.33
1.7 0.37 -0.23 4.54 47.72 0.41
1.8 0.51 -0.02 4.96 49.79 0.49
1.9 0.57 0.18 5.37 51.85 0.57
2.0 0.70 0.39 5.78 53.91 0.65
2.1 0.77 0.60 6.19 55.97 0.72
2.2 0.81 0.80 6.61 58.03 0.79
2.3 0.87 1.01 7.02 60.09 0.84
2.4 0.90 1.22 7.43 62.16 0.89
2.5 0.92 1.42 7.84 64.22 0.92
2.6 0.94 1.63 8.26 66.28 0.95
2.7 0.95 1.83 8.67 68.34 0.97
2.8 0.97 2.04 9.00 70.40 0.98
2.9 0.98 2.25 9.00 72.46 0.99
3.0 1.00 2.45 9.00 74.52 0.99

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0.01 -3.31 1.00 16.85 0.00
0.1 0.01 -3.14 1.00 18.64 0.00
0.2 0.01 -2.96 1.00 20.42 0.00
0.3 0.01 -2.78 1.00 22.20 0.00
0.4 0.01 -2.60 1.00 23.99 0.00
0.5 0.01 -2.42 1.00 25.77 0.01
0.6 0.01 -2.24 1.00 27.56 0.01
0.7 0.02 -2.07 1.00 29.34 0.02
0.8 0.02 -1.89 1.22 31.12 0.03
0.9 0.05 -1.71 1.58 32.91 0.04
1.0 0.09 -1.53 1.94 34.69 0.06
1.1 0.09 -1.35 2.29 36.47 0.09
1.2 0.12 -1.17 2.65 38.26 0.12
1.3 0.12 -1.00 3.01 40.04 0.16
1.4 0.20 -0.82 3.36 41.82 0.21
1.5 0.29 -0.64 3.72 43.61 0.26
1.6 0.29 -0.46 4.08 45.39 0.32
1.7 0.40 -0.28 4.44 47.18 0.39
1.8 0.40 -0.10 4.79 48.96 0.46
1.9 0.53 0.07 5.15 50.74 0.53
2.0 0.69 0.25 5.51 52.53 0.60
2.1 0.69 0.43 5.86 54.31 0.67
2.2 0.79 0.61 6.22 56.09 0.73
2.3 0.79 0.79 6.58 57.88 0.78
2.4 0.85 0.97 6.93 59.66 0.83
2.5 0.90 1.14 7.29 61.45 0.87
2.6 0.90 1.32 7.65 63.23 0.91
2.7 0.92 1.50 8.00 65.01 0.93
2.8 0.92 1.68 8.36 66.80 0.95
2.9 0.96 1.86 8.72 68.58 0.97
3.0 1.00 2.04 9.00 70.36 0.98

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.30 1.00 16.96 0.00
0.1 0.00 -3.12 1.00 18.80 0.00
0.2 0.01 -2.94 1.00 20.63 0.00
0.3 0.01 -2.75 1.00 22.46 0.00
0.4 0.01 -2.57 1.00 24.30 0.01
0.5 0.02 -2.39 1.00 26.13 0.01
0.6 0.02 -2.20 1.00 27.96 0.01
0.7 0.02 -2.02 1.00 29.80 0.02
0.8 0.03 -1.84 1.33 31.63 0.03
0.9 0.05 -1.65 1.69 33.46 0.05
1.0 0.09 -1.47 2.06 35.30 0.07
1.1 0.09 -1.29 2.43 37.13 0.10
1.2 0.12 -1.10 2.79 38.96 0.13
1.3 0.18 -0.92 3.16 40.80 0.18
1.4 0.18 -0.74 3.53 42.63 0.23
1.5 0.27 -0.55 3.89 44.46 0.29
1.6 0.38 -0.37 4.26 46.30 0.36
1.7 0.38 -0.19 4.63 48.13 0.43
1.8 0.45 0.00 4.99 49.96 0.50
1.9 0.59 0.18 5.36 51.80 0.57
2.0 0.73 0.36 5.73 53.63 0.64
2.1 0.73 0.55 6.09 55.46 0.71
2.2 0.83 0.73 6.46 57.30 0.77
2.3 0.86 0.91 6.83 59.13 0.82
2.4 0.86 1.10 7.19 60.97 0.86
2.5 0.90 1.28 7.56 62.80 0.90
2.6 0.92 1.46 7.93 64.63 0.93
2.7 0.92 1.65 8.29 66.47 0.95
2.8 0.95 1.83 8.66 68.30 0.97
2.9 0.97 2.01 9.00 70.13 0.98
3.0 1.00 2.20 9.00 71.97 0.99

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.73 1.00 12.68 0.00
0.1 0.00 -3.53 1.00 14.74 0.00
0.2 0.00 -3.32 1.00 16.80 0.00
0.3 0.01 -3.11 1.00 18.86 0.00
0.4 0.01 -2.91 1.00 20.92 0.00
0.5 0.01 -2.70 1.00 22.99 0.00
0.6 0.01 -2.50 1.00 25.05 0.01
0.7 0.01 -2.29 1.00 27.11 0.01
0.8 0.02 -2.08 1.00 29.17 0.02
0.9 0.02 -1.88 1.25 31.23 0.03
1.0 0.06 -1.67 1.66 33.29 0.05
1.1 0.08 -1.46 2.07 35.35 0.07
1.2 0.09 -1.26 2.48 37.42 0.10
1.3 0.14 -1.05 2.90 39.48 0.15
1.4 0.19 -0.85 3.31 41.54 0.20
1.5 0.27 -0.64 3.72 43.60 0.26
1.6 0.32 -0.43 4.13 45.66 0.33
1.7 0.37 -0.23 4.54 47.72 0.41
1.8 0.51 -0.02 4.96 49.79 0.49
1.9 0.57 0.18 5.37 51.85 0.57
2.0 0.70 0.39 5.78 53.91 0.65
2.1 0.77 0.60 6.19 55.97 0.72
2.2 0.81 0.80 6.61 58.03 0.79
2.3 0.87 1.01 7.02 60.09 0.84
2.4 0.90 1.22 7.43 62.16 0.89
2.5 0.92 1.42 7.84 64.22 0.92
2.6 0.94 1.63 8.26 66.28 0.95
2.7 0.95 1.83 8.67 68.34 0.97
2.8 0.97 2.04 9.00 70.40 0.98
2.9 0.98 2.25 9.00 72.46 0.99
3.0 1.00 2.45 9.00 74.52 0.99

7.3 Split by retreats

7.3.1 Stats

describe_fmi_stats(data = d_w_items,
                   var = Retreats)
Retreats=Multiple retreats per year
Variable Mean Mean_01 SD Range Quartiles Skewness Kurtosis n n_Missing
acceptance13_mean 1.81 0.60 0.48 (0.71, 3.00) 1.57, 2.04 -0.03 -0.06 116 0
fmi13_mean 1.82 0.61 0.43 (0.71, 3.00) 1.57, 2.00 0.03 0.32 116 0
fmi14_mean 1.82 0.61 0.43 (0.71, 3.00) 1.57, 2.00 0.03 0.32 116 0
presence_mean 1.84 0.61 0.50 (0.33, 3.00) 1.50, 2.04 -0.15 0.28 116 0
Retreats=Never
Variable Mean Mean_01 SD Range Quartiles Skewness Kurtosis n n_Missing
acceptance13_mean 1.70 0.57 0.60 (0.00, 3.00) 1.29, 2.00 -0.27 0.21 673 0
fmi13_mean 1.68 0.56 0.52 (0.21, 3.00) 1.36, 2.00 -0.18 0.10 673 0
fmi14_mean 1.68 0.56 0.52 (0.21, 3.00) 1.36, 2.00 -0.18 0.10 673 0
presence_mean 1.64 0.55 0.59 (0.00, 3.00) 1.33, 2.00 -0.28 0.20 673 0
Retreats=Once a year
Variable Mean Mean_01 SD Range Quartiles Skewness Kurtosis n n_Missing
acceptance13_mean 1.73 0.58 0.50 (0.71, 3.00) 1.43, 2.00 0.59 0.46 58 0
fmi13_mean 1.71 0.57 0.45 (0.57, 2.93) 1.43, 1.98 0.30 0.36 58 0
fmi14_mean 1.71 0.57 0.45 (0.57, 2.93) 1.43, 1.98 0.30 0.36 58 0
presence_mean 1.68 0.56 0.55 (0.17, 3.00) 1.33, 2.00 0.04 0.25 58 0
Retreats=Once every couple of years
Variable Mean Mean_01 SD Range Quartiles Skewness Kurtosis n n_Missing
acceptance13_mean 1.74 0.58 0.53 (0.29, 3.00) 1.43, 2.11 0.14 0.12 86 0
fmi13_mean 1.71 0.57 0.46 (0.93, 2.93) 1.36, 2.07 0.38 -0.32 86 0
fmi14_mean 1.71 0.57 0.46 (0.93, 2.93) 1.36, 2.07 0.38 -0.32 86 0
presence_mean 1.71 0.57 0.59 (0.67, 3.00) 1.33, 2.17 0.20 -0.44 86 0
Retreats=Rarely
Variable Mean Mean_01 SD Range Quartiles Skewness Kurtosis n n_Missing
acceptance13_mean 1.93 0.64 0.63 (0.14, 3.00) 1.57, 2.29 -0.38 0.35 79 0
fmi13_mean 1.89 0.63 0.55 (0.29, 2.79) 1.57, 2.29 -0.51 0.60 79 0
fmi14_mean 1.89 0.63 0.55 (0.29, 2.79) 1.57, 2.29 -0.51 0.60 79 0
presence_mean 1.94 0.65 0.68 (0.00, 3.00) 1.50, 2.33 -0.60 0.63 79 0
plot_fmi_descriptives(data = d_w_items,
                      var = Retreats)

7.3.2 Norms

for (i in unique(d_w_items$Retreats)) { 
  cat("Group: ", i, "\n")
  d_w_items %>% 
    filter(Retreats == i) %>% 
    select(ends_with("_mean")) %>% 
    map(~ knitr::kable(compute_all_norms(., min_score = 0, max_score = 3, by = .1), 
                       digits = 2)) %>% 
    print()
}

Group: Never $fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.22 1.00 17.82 0.00
0.1 0.00 -3.03 1.00 19.74 0.00
0.2 0.00 -2.83 1.00 21.66 0.00
0.3 0.01 -2.64 1.00 23.58 0.00
0.4 0.01 -2.45 1.00 25.50 0.01
0.5 0.02 -2.26 1.00 27.42 0.01
0.6 0.03 -2.07 1.00 29.34 0.02
0.7 0.04 -1.87 1.25 31.26 0.03
0.8 0.06 -1.68 1.64 33.18 0.05
0.9 0.07 -1.49 2.02 35.10 0.07
1.0 0.11 -1.30 2.40 37.02 0.10
1.1 0.14 -1.11 2.79 38.94 0.13
1.2 0.17 -0.91 3.17 40.86 0.18
1.3 0.24 -0.72 3.56 42.78 0.24
1.4 0.29 -0.53 3.94 44.70 0.30
1.5 0.36 -0.34 4.32 46.62 0.37
1.6 0.41 -0.15 4.71 48.54 0.44
1.7 0.47 0.05 5.09 50.46 0.52
1.8 0.60 0.24 5.47 52.37 0.59
1.9 0.66 0.43 5.86 54.29 0.67
2.0 0.77 0.62 6.24 56.21 0.73
2.1 0.81 0.81 6.63 58.13 0.79
2.2 0.85 1.01 7.01 60.05 0.84
2.3 0.90 1.20 7.39 61.97 0.88
2.4 0.92 1.39 7.78 63.89 0.92
2.5 0.95 1.58 8.16 65.81 0.94
2.6 0.97 1.77 8.55 67.73 0.96
2.7 0.97 1.97 8.93 69.65 0.98
2.8 0.99 2.16 9.00 71.57 0.98
2.9 0.99 2.35 9.00 73.49 0.99
3.0 1.00 2.54 9.00 75.41 0.99

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0.01 -2.78 1.00 22.23 0.00
0.1 0.01 -2.61 1.00 23.91 0.00
0.2 0.02 -2.44 1.00 25.60 0.01
0.3 0.02 -2.27 1.00 27.29 0.01
0.4 0.03 -2.10 1.00 28.98 0.02
0.5 0.05 -1.93 1.13 30.67 0.03
0.6 0.05 -1.76 1.47 32.36 0.04
0.7 0.08 -1.60 1.81 34.05 0.06
0.8 0.08 -1.43 2.15 35.74 0.08
0.9 0.11 -1.26 2.49 37.43 0.10
1.0 0.16 -1.09 2.82 39.12 0.14
1.1 0.16 -0.92 3.16 40.81 0.18
1.2 0.23 -0.75 3.50 42.49 0.23
1.3 0.23 -0.58 3.84 44.18 0.28
1.4 0.32 -0.41 4.17 45.87 0.34
1.5 0.42 -0.24 4.51 47.56 0.40
1.6 0.42 -0.07 4.85 49.25 0.47
1.7 0.55 0.09 5.19 50.94 0.54
1.8 0.55 0.26 5.53 52.63 0.60
1.9 0.68 0.43 5.86 54.32 0.67
2.0 0.80 0.60 6.20 56.01 0.73
2.1 0.80 0.77 6.54 57.70 0.78
2.2 0.86 0.94 6.88 59.38 0.83
2.3 0.86 1.11 7.21 61.07 0.87
2.4 0.91 1.28 7.55 62.76 0.90
2.5 0.95 1.45 7.89 64.45 0.93
2.6 0.95 1.61 8.23 66.14 0.95
2.7 0.97 1.78 8.57 67.83 0.96
2.8 0.97 1.95 8.90 69.52 0.97
2.9 0.98 2.12 9.00 71.21 0.98
3.0 1.00 2.29 9.00 72.90 0.99

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.01 -2.84 1.00 21.61 0.00
0.1 0.01 -2.67 1.00 23.29 0.00
0.2 0.02 -2.50 1.00 24.96 0.01
0.3 0.02 -2.34 1.00 26.63 0.01
0.4 0.02 -2.17 1.00 28.31 0.02
0.5 0.03 -2.00 1.00 29.98 0.02
0.6 0.05 -1.83 1.33 31.65 0.03
0.7 0.05 -1.67 1.67 33.33 0.05
0.8 0.07 -1.50 2.00 35.00 0.07
0.9 0.10 -1.33 2.33 36.67 0.09
1.0 0.15 -1.17 2.67 38.35 0.12
1.1 0.15 -1.00 3.00 40.02 0.16
1.2 0.20 -0.83 3.34 41.69 0.20
1.3 0.27 -0.66 3.67 43.37 0.25
1.4 0.27 -0.50 4.01 45.04 0.31
1.5 0.35 -0.33 4.34 46.72 0.37
1.6 0.43 -0.16 4.68 48.39 0.44
1.7 0.43 0.01 5.01 50.06 0.50
1.8 0.53 0.17 5.35 51.74 0.57
1.9 0.64 0.34 5.68 53.41 0.63
2.0 0.76 0.51 6.02 55.08 0.69
2.1 0.76 0.68 6.35 56.76 0.75
2.2 0.83 0.84 6.69 58.43 0.80
2.3 0.87 1.01 7.02 60.10 0.84
2.4 0.87 1.18 7.36 61.78 0.88
2.5 0.91 1.35 7.69 63.45 0.91
2.6 0.95 1.51 8.03 65.13 0.93
2.7 0.95 1.68 8.36 66.80 0.95
2.8 0.96 1.85 8.69 68.47 0.97
2.9 0.98 2.01 9.00 70.15 0.98
3.0 1.00 2.18 9.00 71.82 0.99

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.22 1.00 17.82 0.00
0.1 0.00 -3.03 1.00 19.74 0.00
0.2 0.00 -2.83 1.00 21.66 0.00
0.3 0.01 -2.64 1.00 23.58 0.00
0.4 0.01 -2.45 1.00 25.50 0.01
0.5 0.02 -2.26 1.00 27.42 0.01
0.6 0.03 -2.07 1.00 29.34 0.02
0.7 0.04 -1.87 1.25 31.26 0.03
0.8 0.06 -1.68 1.64 33.18 0.05
0.9 0.07 -1.49 2.02 35.10 0.07
1.0 0.11 -1.30 2.40 37.02 0.10
1.1 0.14 -1.11 2.79 38.94 0.13
1.2 0.17 -0.91 3.17 40.86 0.18
1.3 0.24 -0.72 3.56 42.78 0.24
1.4 0.29 -0.53 3.94 44.70 0.30
1.5 0.36 -0.34 4.32 46.62 0.37
1.6 0.41 -0.15 4.71 48.54 0.44
1.7 0.47 0.05 5.09 50.46 0.52
1.8 0.60 0.24 5.47 52.37 0.59
1.9 0.66 0.43 5.86 54.29 0.67
2.0 0.77 0.62 6.24 56.21 0.73
2.1 0.81 0.81 6.63 58.13 0.79
2.2 0.85 1.01 7.01 60.05 0.84
2.3 0.90 1.20 7.39 61.97 0.88
2.4 0.92 1.39 7.78 63.89 0.92
2.5 0.95 1.58 8.16 65.81 0.94
2.6 0.97 1.77 8.55 67.73 0.96
2.7 0.97 1.97 8.93 69.65 0.98
2.8 0.99 2.16 9.00 71.57 0.98
2.9 0.99 2.35 9.00 73.49 0.99
3.0 1.00 2.54 9.00 75.41 0.99

Group: Once every couple of years $fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.67 1.00 13.26 0.00
0.1 0.00 -3.46 1.00 15.41 0.00
0.2 0.00 -3.24 1.00 17.56 0.00
0.3 0.00 -3.03 1.00 19.72 0.00
0.4 0.00 -2.81 1.00 21.87 0.00
0.5 0.00 -2.60 1.00 24.02 0.00
0.6 0.00 -2.38 1.00 26.17 0.01
0.7 0.00 -2.17 1.00 28.32 0.02
0.8 0.00 -1.95 1.09 30.47 0.03
0.9 0.00 -1.74 1.52 32.62 0.04
1.0 0.07 -1.52 1.96 34.78 0.06
1.1 0.09 -1.31 2.39 36.93 0.10
1.2 0.14 -1.09 2.82 39.08 0.14
1.3 0.23 -0.88 3.25 41.23 0.19
1.4 0.28 -0.66 3.68 43.38 0.25
1.5 0.37 -0.45 4.11 45.53 0.33
1.6 0.48 -0.23 4.54 47.68 0.41
1.7 0.51 -0.02 4.97 49.84 0.49
1.8 0.60 0.20 5.40 51.99 0.58
1.9 0.63 0.41 5.83 54.14 0.66
2.0 0.73 0.63 6.26 56.29 0.74
2.1 0.80 0.84 6.69 58.44 0.80
2.2 0.87 1.06 7.12 60.59 0.86
2.3 0.92 1.27 7.55 62.74 0.90
2.4 0.92 1.49 7.98 64.90 0.93
2.5 0.95 1.70 8.41 67.05 0.96
2.6 0.97 1.92 8.84 69.20 0.97
2.7 0.97 2.14 9.00 71.35 0.98
2.8 0.99 2.35 9.00 73.50 0.99
2.9 0.99 2.57 9.00 75.65 0.99
3.0 1.00 2.78 9.00 77.80 1.00

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -2.91 1.00 20.88 0.00
0.1 0.00 -2.74 1.00 22.58 0.00
0.2 0.00 -2.57 1.00 24.29 0.01
0.3 0.00 -2.40 1.00 26.00 0.01
0.4 0.00 -2.23 1.00 27.70 0.01
0.5 0.00 -2.06 1.00 29.41 0.02
0.6 0.00 -1.89 1.22 31.11 0.03
0.7 0.05 -1.72 1.56 32.82 0.04
0.8 0.05 -1.55 1.90 34.52 0.06
0.9 0.10 -1.38 2.25 36.23 0.08
1.0 0.17 -1.21 2.59 37.94 0.11
1.1 0.17 -1.04 2.93 39.64 0.15
1.2 0.22 -0.87 3.27 41.35 0.19
1.3 0.22 -0.69 3.61 43.05 0.24
1.4 0.29 -0.52 3.95 44.76 0.30
1.5 0.45 -0.35 4.29 46.46 0.36
1.6 0.45 -0.18 4.63 48.17 0.43
1.7 0.56 -0.01 4.97 49.87 0.49
1.8 0.56 0.16 5.32 51.58 0.56
1.9 0.63 0.33 5.66 53.29 0.63
2.0 0.72 0.50 6.00 54.99 0.69
2.1 0.72 0.67 6.34 56.70 0.75
2.2 0.81 0.84 6.68 58.40 0.80
2.3 0.81 1.01 7.02 60.11 0.84
2.4 0.92 1.18 7.36 61.81 0.88
2.5 0.93 1.35 7.70 63.52 0.91
2.6 0.93 1.52 8.04 65.22 0.94
2.7 0.93 1.69 8.39 66.93 0.95
2.8 0.93 1.86 8.73 68.64 0.97
2.9 0.97 2.03 9.00 70.34 0.98
3.0 1.00 2.20 9.00 72.05 0.99

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.30 1.00 17.03 0.00
0.1 0.00 -3.11 1.00 18.92 0.00
0.2 0.00 -2.92 1.00 20.82 0.00
0.3 0.01 -2.73 1.00 22.71 0.00
0.4 0.01 -2.54 1.00 24.60 0.01
0.5 0.01 -2.35 1.00 26.50 0.01
0.6 0.01 -2.16 1.00 28.39 0.02
0.7 0.01 -1.97 1.06 30.29 0.02
0.8 0.01 -1.78 1.44 32.18 0.04
0.9 0.05 -1.59 1.81 34.07 0.06
1.0 0.12 -1.40 2.19 35.97 0.08
1.1 0.12 -1.21 2.57 37.86 0.11
1.2 0.15 -1.02 2.95 39.76 0.15
1.3 0.21 -0.84 3.33 41.65 0.20
1.4 0.21 -0.65 3.71 43.54 0.26
1.5 0.35 -0.46 4.09 45.44 0.32
1.6 0.45 -0.27 4.47 47.33 0.39
1.7 0.45 -0.08 4.85 49.23 0.47
1.8 0.55 0.11 5.22 51.12 0.54
1.9 0.63 0.30 5.60 53.01 0.62
2.0 0.74 0.49 5.98 54.91 0.69
2.1 0.74 0.68 6.36 56.80 0.75
2.2 0.84 0.87 6.74 58.70 0.81
2.3 0.87 1.06 7.12 60.59 0.86
2.4 0.87 1.25 7.50 62.48 0.89
2.5 0.93 1.44 7.88 64.38 0.92
2.6 0.95 1.63 8.25 66.27 0.95
2.7 0.95 1.82 8.63 68.17 0.97
2.8 0.97 2.01 9.00 70.06 0.98
2.9 0.97 2.20 9.00 71.95 0.99
3.0 1.00 2.38 9.00 73.85 0.99

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.67 1.00 13.26 0.00
0.1 0.00 -3.46 1.00 15.41 0.00
0.2 0.00 -3.24 1.00 17.56 0.00
0.3 0.00 -3.03 1.00 19.72 0.00
0.4 0.00 -2.81 1.00 21.87 0.00
0.5 0.00 -2.60 1.00 24.02 0.00
0.6 0.00 -2.38 1.00 26.17 0.01
0.7 0.00 -2.17 1.00 28.32 0.02
0.8 0.00 -1.95 1.09 30.47 0.03
0.9 0.00 -1.74 1.52 32.62 0.04
1.0 0.07 -1.52 1.96 34.78 0.06
1.1 0.09 -1.31 2.39 36.93 0.10
1.2 0.14 -1.09 2.82 39.08 0.14
1.3 0.23 -0.88 3.25 41.23 0.19
1.4 0.28 -0.66 3.68 43.38 0.25
1.5 0.37 -0.45 4.11 45.53 0.33
1.6 0.48 -0.23 4.54 47.68 0.41
1.7 0.51 -0.02 4.97 49.84 0.49
1.8 0.60 0.20 5.40 51.99 0.58
1.9 0.63 0.41 5.83 54.14 0.66
2.0 0.73 0.63 6.26 56.29 0.74
2.1 0.80 0.84 6.69 58.44 0.80
2.2 0.87 1.06 7.12 60.59 0.86
2.3 0.92 1.27 7.55 62.74 0.90
2.4 0.92 1.49 7.98 64.90 0.93
2.5 0.95 1.70 8.41 67.05 0.96
2.6 0.97 1.92 8.84 69.20 0.97
2.7 0.97 2.14 9.00 71.35 0.98
2.8 0.99 2.35 9.00 73.50 0.99
2.9 0.99 2.57 9.00 75.65 0.99
3.0 1.00 2.78 9.00 77.80 1.00

Group: Multiple retreats per year $fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -4.22 1.00 7.83 0.00
0.1 0.00 -3.99 1.00 10.15 0.00
0.2 0.00 -3.75 1.00 12.47 0.00
0.3 0.00 -3.52 1.00 14.79 0.00
0.4 0.00 -3.29 1.00 17.11 0.00
0.5 0.00 -3.06 1.00 19.43 0.00
0.6 0.00 -2.82 1.00 21.75 0.00
0.7 0.00 -2.59 1.00 24.07 0.00
0.8 0.02 -2.36 1.00 26.39 0.01
0.9 0.02 -2.13 1.00 28.71 0.02
1.0 0.03 -1.90 1.21 31.04 0.03
1.1 0.07 -1.66 1.67 33.36 0.05
1.2 0.09 -1.43 2.14 35.68 0.08
1.3 0.13 -1.20 2.60 38.00 0.12
1.4 0.16 -0.97 3.06 40.32 0.17
1.5 0.22 -0.74 3.53 42.64 0.23
1.6 0.28 -0.50 3.99 44.96 0.31
1.7 0.34 -0.27 4.46 47.28 0.39
1.8 0.51 -0.04 4.92 49.60 0.48
1.9 0.59 0.19 5.38 51.92 0.58
2.0 0.76 0.42 5.85 54.24 0.66
2.1 0.78 0.66 6.31 56.57 0.74
2.2 0.80 0.89 6.78 58.89 0.81
2.3 0.90 1.12 7.24 61.21 0.87
2.4 0.91 1.35 7.71 63.53 0.91
2.5 0.93 1.58 8.17 65.85 0.94
2.6 0.95 1.82 8.63 68.17 0.97
2.7 0.97 2.05 9.00 70.49 0.98
2.8 0.99 2.28 9.00 72.81 0.99
2.9 0.99 2.51 9.00 75.13 0.99
3.0 1.00 2.75 9.00 77.45 1.00

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.71 1.00 12.89 0.00
0.1 0.00 -3.51 1.00 14.90 0.00
0.2 0.00 -3.31 1.00 16.92 0.00
0.3 0.00 -3.11 1.00 18.93 0.00
0.4 0.01 -2.91 1.00 20.95 0.00
0.5 0.01 -2.70 1.00 22.96 0.00
0.6 0.01 -2.50 1.00 24.98 0.01
0.7 0.02 -2.30 1.00 26.99 0.01
0.8 0.02 -2.10 1.00 29.01 0.02
0.9 0.03 -1.90 1.20 31.02 0.03
1.0 0.08 -1.70 1.61 33.03 0.04
1.1 0.08 -1.50 2.01 35.05 0.07
1.2 0.12 -1.29 2.41 37.06 0.10
1.3 0.12 -1.09 2.82 39.08 0.14
1.4 0.18 -0.89 3.22 41.09 0.19
1.5 0.28 -0.69 3.62 43.11 0.25
1.6 0.28 -0.49 4.02 45.12 0.31
1.7 0.39 -0.29 4.43 47.14 0.39
1.8 0.39 -0.08 4.83 49.15 0.47
1.9 0.52 0.12 5.23 51.17 0.55
2.0 0.75 0.32 5.64 53.18 0.62
2.1 0.75 0.52 6.04 55.20 0.70
2.2 0.84 0.72 6.44 57.21 0.76
2.3 0.84 0.92 6.85 59.23 0.82
2.4 0.86 1.12 7.25 61.24 0.87
2.5 0.92 1.33 7.65 63.26 0.91
2.6 0.92 1.53 8.05 65.27 0.94
2.7 0.97 1.73 8.46 67.29 0.96
2.8 0.97 1.93 8.86 69.30 0.97
2.9 0.98 2.13 9.00 71.32 0.98
3.0 1.00 2.33 9.00 73.33 0.99

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.80 1.00 11.98 0.00
0.1 0.00 -3.59 1.00 14.08 0.00
0.2 0.00 -3.38 1.00 16.18 0.00
0.3 0.00 -3.17 1.00 18.27 0.00
0.4 0.00 -2.96 1.00 20.37 0.00
0.5 0.00 -2.75 1.00 22.47 0.00
0.6 0.00 -2.54 1.00 24.57 0.01
0.7 0.00 -2.33 1.00 26.67 0.01
0.8 0.02 -2.12 1.00 28.77 0.02
0.9 0.03 -1.91 1.17 30.87 0.03
1.0 0.09 -1.70 1.59 32.97 0.04
1.1 0.09 -1.49 2.01 35.07 0.07
1.2 0.11 -1.28 2.43 37.16 0.10
1.3 0.18 -1.07 2.85 39.26 0.14
1.4 0.18 -0.86 3.27 41.36 0.19
1.5 0.23 -0.65 3.69 43.46 0.26
1.6 0.33 -0.44 4.11 45.56 0.33
1.7 0.33 -0.23 4.53 47.66 0.41
1.8 0.43 -0.02 4.95 49.76 0.49
1.9 0.60 0.19 5.37 51.86 0.57
2.0 0.75 0.40 5.79 53.95 0.65
2.1 0.75 0.61 6.21 56.05 0.73
2.2 0.84 0.82 6.63 58.15 0.79
2.3 0.88 1.03 7.05 60.25 0.85
2.4 0.88 1.24 7.47 62.35 0.89
2.5 0.91 1.44 7.89 64.45 0.93
2.6 0.93 1.65 8.31 66.55 0.95
2.7 0.93 1.86 8.73 68.65 0.97
2.8 0.99 2.07 9.00 70.75 0.98
2.9 0.99 2.28 9.00 72.84 0.99
3.0 1.00 2.49 9.00 74.94 0.99

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -4.22 1.00 7.83 0.00
0.1 0.00 -3.99 1.00 10.15 0.00
0.2 0.00 -3.75 1.00 12.47 0.00
0.3 0.00 -3.52 1.00 14.79 0.00
0.4 0.00 -3.29 1.00 17.11 0.00
0.5 0.00 -3.06 1.00 19.43 0.00
0.6 0.00 -2.82 1.00 21.75 0.00
0.7 0.00 -2.59 1.00 24.07 0.00
0.8 0.02 -2.36 1.00 26.39 0.01
0.9 0.02 -2.13 1.00 28.71 0.02
1.0 0.03 -1.90 1.21 31.04 0.03
1.1 0.07 -1.66 1.67 33.36 0.05
1.2 0.09 -1.43 2.14 35.68 0.08
1.3 0.13 -1.20 2.60 38.00 0.12
1.4 0.16 -0.97 3.06 40.32 0.17
1.5 0.22 -0.74 3.53 42.64 0.23
1.6 0.28 -0.50 3.99 44.96 0.31
1.7 0.34 -0.27 4.46 47.28 0.39
1.8 0.51 -0.04 4.92 49.60 0.48
1.9 0.59 0.19 5.38 51.92 0.58
2.0 0.76 0.42 5.85 54.24 0.66
2.1 0.78 0.66 6.31 56.57 0.74
2.2 0.80 0.89 6.78 58.89 0.81
2.3 0.90 1.12 7.24 61.21 0.87
2.4 0.91 1.35 7.71 63.53 0.91
2.5 0.93 1.58 8.17 65.85 0.94
2.6 0.95 1.82 8.63 68.17 0.97
2.7 0.97 2.05 9.00 70.49 0.98
2.8 0.99 2.28 9.00 72.81 0.99
2.9 0.99 2.51 9.00 75.13 0.99
3.0 1.00 2.75 9.00 77.45 1.00

Group: Rarely $fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.42 1.00 15.83 0.00
0.1 0.00 -3.24 1.00 17.64 0.00
0.2 0.00 -3.05 1.00 19.45 0.00
0.3 0.01 -2.87 1.00 21.27 0.00
0.4 0.01 -2.69 1.00 23.08 0.00
0.5 0.04 -2.51 1.00 24.89 0.01
0.6 0.04 -2.33 1.00 26.70 0.01
0.7 0.04 -2.15 1.00 28.52 0.02
0.8 0.05 -1.97 1.07 30.33 0.02
0.9 0.05 -1.79 1.43 32.14 0.04
1.0 0.05 -1.60 1.79 33.95 0.05
1.1 0.08 -1.42 2.15 35.77 0.08
1.2 0.08 -1.24 2.52 37.58 0.11
1.3 0.09 -1.06 2.88 39.39 0.14
1.4 0.13 -0.88 3.24 41.21 0.19
1.5 0.24 -0.70 3.60 43.02 0.24
1.6 0.30 -0.52 3.97 44.83 0.30
1.7 0.35 -0.34 4.33 46.64 0.37
1.8 0.44 -0.15 4.69 48.46 0.44
1.9 0.49 0.03 5.05 50.27 0.51
2.0 0.63 0.21 5.42 52.08 0.58
2.1 0.68 0.39 5.78 53.89 0.65
2.2 0.71 0.57 6.14 55.71 0.72
2.3 0.77 0.75 6.50 57.52 0.77
2.4 0.80 0.93 6.87 59.33 0.82
2.5 0.89 1.11 7.23 61.14 0.87
2.6 0.90 1.30 7.59 62.96 0.90
2.7 0.90 1.48 7.95 64.77 0.93
2.8 1.00 1.66 8.32 66.58 0.95
2.9 1.00 1.84 8.68 68.40 0.97
3.0 1.00 2.02 9.00 70.21 0.98

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0.03 -2.85 1.00 21.48 0.00
0.1 0.03 -2.71 1.00 22.95 0.00
0.2 0.04 -2.56 1.00 24.42 0.01
0.3 0.04 -2.41 1.00 25.90 0.01
0.4 0.04 -2.26 1.00 27.37 0.01
0.5 0.04 -2.12 1.00 28.84 0.02
0.6 0.04 -1.97 1.06 30.31 0.02
0.7 0.05 -1.82 1.36 31.79 0.03
0.8 0.05 -1.67 1.65 33.26 0.05
0.9 0.05 -1.53 1.95 34.73 0.06
1.0 0.08 -1.38 2.24 36.20 0.08
1.1 0.08 -1.23 2.54 37.68 0.11
1.2 0.15 -1.08 2.83 39.15 0.14
1.3 0.15 -0.94 3.12 40.62 0.17
1.4 0.19 -0.79 3.42 42.10 0.21
1.5 0.28 -0.64 3.71 43.57 0.26
1.6 0.28 -0.50 4.01 45.04 0.31
1.7 0.35 -0.35 4.30 46.51 0.36
1.8 0.35 -0.20 4.60 47.99 0.42
1.9 0.46 -0.05 4.89 49.46 0.48
2.0 0.58 0.09 5.19 50.93 0.54
2.1 0.58 0.24 5.48 52.40 0.60
2.2 0.68 0.39 5.78 53.88 0.65
2.3 0.68 0.54 6.07 55.35 0.70
2.4 0.76 0.68 6.36 56.82 0.75
2.5 0.82 0.83 6.66 58.30 0.80
2.6 0.82 0.98 6.95 59.77 0.84
2.7 0.87 1.12 7.25 61.24 0.87
2.8 0.87 1.27 7.54 62.71 0.90
2.9 0.91 1.42 7.84 64.19 0.92
3.0 1.00 1.57 8.13 65.66 0.94

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.09 1.00 19.08 0.00
0.1 0.00 -2.93 1.00 20.68 0.00
0.2 0.01 -2.77 1.00 22.28 0.00
0.3 0.03 -2.61 1.00 23.88 0.00
0.4 0.03 -2.45 1.00 25.48 0.01
0.5 0.03 -2.29 1.00 27.08 0.01
0.6 0.05 -2.13 1.00 28.68 0.02
0.7 0.05 -1.97 1.06 30.28 0.02
0.8 0.05 -1.81 1.37 31.87 0.03
0.9 0.05 -1.65 1.69 33.47 0.05
1.0 0.05 -1.49 2.01 35.07 0.07
1.1 0.05 -1.33 2.33 36.67 0.09
1.2 0.09 -1.17 2.65 38.27 0.12
1.3 0.15 -1.01 2.97 39.87 0.16
1.4 0.15 -0.85 3.29 41.47 0.20
1.5 0.24 -0.69 3.61 43.07 0.24
1.6 0.29 -0.53 3.93 44.67 0.30
1.7 0.29 -0.37 4.25 46.27 0.35
1.8 0.41 -0.21 4.57 47.87 0.42
1.9 0.47 -0.05 4.89 49.47 0.48
2.0 0.63 0.11 5.21 51.07 0.54
2.1 0.63 0.27 5.53 52.67 0.61
2.2 0.70 0.43 5.85 54.27 0.67
2.3 0.76 0.59 6.17 55.87 0.72
2.4 0.76 0.75 6.49 57.47 0.77
2.5 0.78 0.91 6.81 59.07 0.82
2.6 0.85 1.07 7.13 60.67 0.86
2.7 0.85 1.23 7.45 62.27 0.89
2.8 0.90 1.39 7.77 63.87 0.92
2.9 0.94 1.55 8.09 65.47 0.94
3.0 1.00 1.71 8.41 67.07 0.96

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.42 1.00 15.83 0.00
0.1 0.00 -3.24 1.00 17.64 0.00
0.2 0.00 -3.05 1.00 19.45 0.00
0.3 0.01 -2.87 1.00 21.27 0.00
0.4 0.01 -2.69 1.00 23.08 0.00
0.5 0.04 -2.51 1.00 24.89 0.01
0.6 0.04 -2.33 1.00 26.70 0.01
0.7 0.04 -2.15 1.00 28.52 0.02
0.8 0.05 -1.97 1.07 30.33 0.02
0.9 0.05 -1.79 1.43 32.14 0.04
1.0 0.05 -1.60 1.79 33.95 0.05
1.1 0.08 -1.42 2.15 35.77 0.08
1.2 0.08 -1.24 2.52 37.58 0.11
1.3 0.09 -1.06 2.88 39.39 0.14
1.4 0.13 -0.88 3.24 41.21 0.19
1.5 0.24 -0.70 3.60 43.02 0.24
1.6 0.30 -0.52 3.97 44.83 0.30
1.7 0.35 -0.34 4.33 46.64 0.37
1.8 0.44 -0.15 4.69 48.46 0.44
1.9 0.49 0.03 5.05 50.27 0.51
2.0 0.63 0.21 5.42 52.08 0.58
2.1 0.68 0.39 5.78 53.89 0.65
2.2 0.71 0.57 6.14 55.71 0.72
2.3 0.77 0.75 6.50 57.52 0.77
2.4 0.80 0.93 6.87 59.33 0.82
2.5 0.89 1.11 7.23 61.14 0.87
2.6 0.90 1.30 7.59 62.96 0.90
2.7 0.90 1.48 7.95 64.77 0.93
2.8 1.00 1.66 8.32 66.58 0.95
2.9 1.00 1.84 8.68 68.40 0.97
3.0 1.00 2.02 9.00 70.21 0.98

Group: Once a year $fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.76 1.00 12.37 0.00
0.1 0.00 -3.54 1.00 14.57 0.00
0.2 0.00 -3.32 1.00 16.77 0.00
0.3 0.00 -3.10 1.00 18.96 0.00
0.4 0.00 -2.88 1.00 21.16 0.00
0.5 0.00 -2.66 1.00 23.36 0.00
0.6 0.02 -2.44 1.00 25.56 0.01
0.7 0.02 -2.22 1.00 27.76 0.01
0.8 0.02 -2.00 1.00 29.96 0.02
0.9 0.02 -1.78 1.43 32.15 0.04
1.0 0.07 -1.56 1.87 34.35 0.06
1.1 0.07 -1.34 2.31 36.55 0.09
1.2 0.10 -1.13 2.75 38.75 0.13
1.3 0.14 -0.91 3.19 40.95 0.18
1.4 0.21 -0.69 3.63 43.15 0.25
1.5 0.38 -0.47 4.07 45.34 0.32
1.6 0.45 -0.25 4.51 47.54 0.40
1.7 0.52 -0.03 4.95 49.74 0.49
1.8 0.66 0.19 5.39 51.94 0.58
1.9 0.67 0.41 5.83 54.14 0.66
2.0 0.79 0.63 6.27 56.33 0.74
2.1 0.83 0.85 6.71 58.53 0.80
2.2 0.83 1.07 7.15 60.73 0.86
2.3 0.90 1.29 7.59 62.93 0.90
2.4 0.91 1.51 8.03 65.13 0.93
2.5 0.95 1.73 8.47 67.33 0.96
2.6 0.97 1.95 8.90 69.52 0.97
2.7 0.98 2.17 9.00 71.72 0.99
2.8 0.98 2.39 9.00 73.92 0.99
2.9 0.98 2.61 9.00 76.12 1.00
3.0 1.00 2.83 9.00 78.32 1.00

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.04 1.00 19.58 0.00
0.1 0.00 -2.86 1.00 21.39 0.00
0.2 0.02 -2.68 1.00 23.20 0.00
0.3 0.02 -2.50 1.00 25.01 0.01
0.4 0.02 -2.32 1.00 26.82 0.01
0.5 0.02 -2.14 1.00 28.63 0.02
0.6 0.02 -1.96 1.09 30.44 0.03
0.7 0.03 -1.78 1.45 32.25 0.04
0.8 0.03 -1.59 1.81 34.06 0.06
0.9 0.05 -1.41 2.17 35.87 0.08
1.0 0.14 -1.23 2.54 37.68 0.11
1.1 0.14 -1.05 2.90 39.49 0.15
1.2 0.21 -0.87 3.26 41.29 0.19
1.3 0.21 -0.69 3.62 43.10 0.25
1.4 0.33 -0.51 3.98 44.91 0.31
1.5 0.43 -0.33 4.34 46.72 0.37
1.6 0.43 -0.15 4.71 48.53 0.44
1.7 0.57 0.03 5.07 50.34 0.51
1.8 0.57 0.22 5.43 52.15 0.59
1.9 0.67 0.40 5.79 53.96 0.65
2.0 0.79 0.58 6.15 55.77 0.72
2.1 0.79 0.76 6.52 57.58 0.78
2.2 0.86 0.94 6.88 59.39 0.83
2.3 0.86 1.12 7.24 61.20 0.87
2.4 0.88 1.30 7.60 63.01 0.90
2.5 0.95 1.48 7.96 64.82 0.93
2.6 0.95 1.66 8.33 66.63 0.95
2.7 0.97 1.84 8.69 68.44 0.97
2.8 0.97 2.02 9.00 70.25 0.98
2.9 0.98 2.21 9.00 72.06 0.99
3.0 1.00 2.39 9.00 73.87 0.99

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.50 1.00 14.98 0.00
0.1 0.00 -3.30 1.00 17.00 0.00
0.2 0.00 -3.10 1.00 19.02 0.00
0.3 0.00 -2.90 1.00 21.04 0.00
0.4 0.00 -2.69 1.00 23.06 0.00
0.5 0.00 -2.49 1.00 25.08 0.01
0.6 0.00 -2.29 1.00 27.10 0.01
0.7 0.00 -2.09 1.00 29.12 0.02
0.8 0.02 -1.89 1.23 31.14 0.03
0.9 0.03 -1.68 1.63 33.16 0.05
1.0 0.09 -1.48 2.04 35.18 0.07
1.1 0.09 -1.28 2.44 37.20 0.10
1.2 0.10 -1.08 2.84 39.22 0.14
1.3 0.19 -0.88 3.25 41.24 0.19
1.4 0.19 -0.67 3.65 43.26 0.25
1.5 0.31 -0.47 4.05 45.27 0.32
1.6 0.53 -0.27 4.46 47.29 0.39
1.7 0.53 -0.07 4.86 49.31 0.47
1.8 0.57 0.13 5.27 51.33 0.55
1.9 0.69 0.34 5.67 53.35 0.63
2.0 0.79 0.54 6.07 55.37 0.70
2.1 0.79 0.74 6.48 57.39 0.77
2.2 0.86 0.94 6.88 59.41 0.83
2.3 0.91 1.14 7.29 61.43 0.87
2.4 0.91 1.34 7.69 63.45 0.91
2.5 0.91 1.55 8.09 65.47 0.94
2.6 0.93 1.75 8.50 67.49 0.96
2.7 0.93 1.95 8.90 69.51 0.97
2.8 0.93 2.15 9.00 71.53 0.98
2.9 0.98 2.35 9.00 73.55 0.99
3.0 1.00 2.56 9.00 75.57 0.99

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.76 1.00 12.37 0.00
0.1 0.00 -3.54 1.00 14.57 0.00
0.2 0.00 -3.32 1.00 16.77 0.00
0.3 0.00 -3.10 1.00 18.96 0.00
0.4 0.00 -2.88 1.00 21.16 0.00
0.5 0.00 -2.66 1.00 23.36 0.00
0.6 0.02 -2.44 1.00 25.56 0.01
0.7 0.02 -2.22 1.00 27.76 0.01
0.8 0.02 -2.00 1.00 29.96 0.02
0.9 0.02 -1.78 1.43 32.15 0.04
1.0 0.07 -1.56 1.87 34.35 0.06
1.1 0.07 -1.34 2.31 36.55 0.09
1.2 0.10 -1.13 2.75 38.75 0.13
1.3 0.14 -0.91 3.19 40.95 0.18
1.4 0.21 -0.69 3.63 43.15 0.25
1.5 0.38 -0.47 4.07 45.34 0.32
1.6 0.45 -0.25 4.51 47.54 0.40
1.7 0.52 -0.03 4.95 49.74 0.49
1.8 0.66 0.19 5.39 51.94 0.58
1.9 0.67 0.41 5.83 54.14 0.66
2.0 0.79 0.63 6.27 56.33 0.74
2.1 0.83 0.85 6.71 58.53 0.80
2.2 0.83 1.07 7.15 60.73 0.86
2.3 0.90 1.29 7.59 62.93 0.90
2.4 0.91 1.51 8.03 65.13 0.93
2.5 0.95 1.73 8.47 67.33 0.96
2.6 0.97 1.95 8.90 69.52 0.97
2.7 0.98 2.17 9.00 71.72 0.99
2.8 0.98 2.39 9.00 73.92 0.99
2.9 0.98 2.61 9.00 76.12 1.00
3.0 1.00 2.83 9.00 78.32 1.00

7.4 Split by Vipassana continuously

7.4.1 Stats

describe_fmi_stats(data = d_w_items,
                   var = Vip_regel)
Vip_regel=ja
Variable Mean Mean_01 SD Range Quartiles Skewness Kurtosis n n_Missing
acceptance13_mean 1.71 0.57 0.64 (0.29, 3.00) 1.43, 2.14 -0.02 0.04 33 0
fmi13_mean 1.67 0.56 0.59 (0.43, 2.79) 1.36, 2.14 -0.21 0.02 33 0
fmi14_mean 1.67 0.56 0.59 (0.43, 2.79) 1.36, 2.14 -0.21 0.02 33 0
presence_mean 1.66 0.55 0.77 (0.00, 3.00) 1.33, 2.17 -0.37 -0.18 33 0
Vip_regel=nicht
Variable Mean Mean_01 SD Range Quartiles Skewness Kurtosis n n_Missing
acceptance13_mean 1.73 0.58 0.58 (0.00, 3.00) 1.43, 2.00 -0.22 0.28 979 0
fmi13_mean 1.71 0.57 0.51 (0.21, 3.00) 1.36, 2.00 -0.14 0.16 979 0
fmi14_mean 1.71 0.57 0.51 (0.21, 3.00) 1.36, 2.00 -0.14 0.16 979 0
presence_mean 1.70 0.57 0.59 (0.00, 3.00) 1.33, 2.00 -0.22 0.19 979 0
plot_fmi_descriptives(data = d_w_items,
                      var = Vip_regel)

7.4.2 Norms

for (i in unique(d_w_items$Vip_regel)) { 
  cat("Group: ", i, "\n")
  d_w_items %>% 
    filter(Vip_regel == i) %>% 
    select(ends_with("_mean")) %>% 
    map(~ knitr::kable(compute_all_norms(., min_score = 0, max_score = 3, by = .1), 
                       digits = 2)) %>% 
    print()
}

Group: nicht $fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.39 1.00 16.14 0.00
0.1 0.00 -3.19 1.00 18.11 0.00
0.2 0.00 -2.99 1.00 20.09 0.00
0.3 0.01 -2.79 1.00 22.06 0.00
0.4 0.01 -2.60 1.00 24.04 0.00
0.5 0.01 -2.40 1.00 26.01 0.01
0.6 0.02 -2.20 1.00 27.99 0.01
0.7 0.03 -2.00 1.00 29.96 0.02
0.8 0.04 -1.81 1.39 31.93 0.04
0.9 0.05 -1.61 1.78 33.91 0.05
1.0 0.09 -1.41 2.18 35.88 0.08
1.1 0.12 -1.21 2.57 37.86 0.11
1.2 0.15 -1.02 2.97 39.83 0.15
1.3 0.21 -0.82 3.36 41.81 0.21
1.4 0.25 -0.62 3.76 43.78 0.27
1.5 0.34 -0.42 4.15 45.76 0.34
1.6 0.39 -0.23 4.55 47.73 0.41
1.7 0.45 -0.03 4.94 49.70 0.49
1.8 0.58 0.17 5.34 51.68 0.57
1.9 0.63 0.37 5.73 53.65 0.64
2.0 0.76 0.56 6.13 55.63 0.71
2.1 0.80 0.76 6.52 57.60 0.78
2.2 0.83 0.96 6.92 59.58 0.83
2.3 0.89 1.16 7.31 61.55 0.88
2.4 0.91 1.35 7.71 63.53 0.91
2.5 0.95 1.55 8.10 65.50 0.94
2.6 0.96 1.75 8.50 67.48 0.96
2.7 0.97 1.94 8.89 69.45 0.97
2.8 0.99 2.14 9.00 71.42 0.98
2.9 0.99 2.34 9.00 73.40 0.99
3.0 1.00 2.54 9.00 75.37 0.99

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0.01 -2.90 1.00 21.04 0.00
0.1 0.01 -2.73 1.00 22.75 0.00
0.2 0.01 -2.55 1.00 24.45 0.01
0.3 0.01 -2.38 1.00 26.16 0.01
0.4 0.02 -2.21 1.00 27.86 0.01
0.5 0.04 -2.04 1.00 29.56 0.02
0.6 0.04 -1.87 1.25 31.27 0.03
0.7 0.06 -1.70 1.59 32.97 0.04
0.8 0.06 -1.53 1.94 34.68 0.06
0.9 0.09 -1.36 2.28 36.38 0.09
1.0 0.14 -1.19 2.62 38.09 0.12
1.1 0.14 -1.02 2.96 39.79 0.15
1.2 0.21 -0.85 3.30 41.50 0.20
1.3 0.21 -0.68 3.64 43.20 0.25
1.4 0.29 -0.51 3.98 44.91 0.31
1.5 0.40 -0.34 4.32 46.61 0.37
1.6 0.40 -0.17 4.66 48.32 0.43
1.7 0.51 0.00 5.00 50.02 0.50
1.8 0.51 0.17 5.35 51.73 0.57
1.9 0.64 0.34 5.69 53.43 0.63
2.0 0.77 0.51 6.03 55.14 0.70
2.1 0.77 0.68 6.37 56.84 0.75
2.2 0.84 0.85 6.71 58.55 0.80
2.3 0.84 1.03 7.05 60.25 0.85
2.4 0.89 1.20 7.39 61.96 0.88
2.5 0.94 1.37 7.73 63.66 0.91
2.6 0.94 1.54 8.07 65.37 0.94
2.7 0.96 1.71 8.41 67.07 0.96
2.8 0.96 1.88 8.76 68.78 0.97
2.9 0.98 2.05 9.00 70.48 0.98
3.0 1.00 2.22 9.00 72.19 0.99

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.01 -3.00 1.00 19.96 0.00
0.1 0.01 -2.83 1.00 21.69 0.00
0.2 0.01 -2.66 1.00 23.42 0.00
0.3 0.02 -2.48 1.00 25.15 0.01
0.4 0.02 -2.31 1.00 26.88 0.01
0.5 0.03 -2.14 1.00 28.62 0.02
0.6 0.03 -1.97 1.07 30.35 0.02
0.7 0.03 -1.79 1.42 32.08 0.04
0.8 0.05 -1.62 1.76 33.81 0.05
0.9 0.08 -1.45 2.11 35.54 0.07
1.0 0.13 -1.27 2.46 37.28 0.10
1.1 0.13 -1.10 2.80 39.01 0.14
1.2 0.17 -0.93 3.15 40.74 0.18
1.3 0.24 -0.75 3.49 42.47 0.23
1.4 0.24 -0.58 3.84 44.20 0.28
1.5 0.33 -0.41 4.19 45.93 0.34
1.6 0.42 -0.23 4.53 47.67 0.41
1.7 0.42 -0.06 4.88 49.40 0.48
1.8 0.51 0.11 5.23 51.13 0.55
1.9 0.63 0.29 5.57 52.86 0.61
2.0 0.75 0.46 5.92 54.59 0.68
2.1 0.75 0.63 6.27 56.33 0.74
2.2 0.82 0.81 6.61 58.06 0.79
2.3 0.87 0.98 6.96 59.79 0.84
2.4 0.87 1.15 7.30 61.52 0.88
2.5 0.90 1.33 7.65 63.25 0.91
2.6 0.94 1.50 8.00 64.99 0.93
2.7 0.94 1.67 8.34 66.72 0.95
2.8 0.96 1.85 8.69 68.45 0.97
2.9 0.98 2.02 9.00 70.18 0.98
3.0 1.00 2.19 9.00 71.91 0.99

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.39 1.00 16.14 0.00
0.1 0.00 -3.19 1.00 18.11 0.00
0.2 0.00 -2.99 1.00 20.09 0.00
0.3 0.01 -2.79 1.00 22.06 0.00
0.4 0.01 -2.60 1.00 24.04 0.00
0.5 0.01 -2.40 1.00 26.01 0.01
0.6 0.02 -2.20 1.00 27.99 0.01
0.7 0.03 -2.00 1.00 29.96 0.02
0.8 0.04 -1.81 1.39 31.93 0.04
0.9 0.05 -1.61 1.78 33.91 0.05
1.0 0.09 -1.41 2.18 35.88 0.08
1.1 0.12 -1.21 2.57 37.86 0.11
1.2 0.15 -1.02 2.97 39.83 0.15
1.3 0.21 -0.82 3.36 41.81 0.21
1.4 0.25 -0.62 3.76 43.78 0.27
1.5 0.34 -0.42 4.15 45.76 0.34
1.6 0.39 -0.23 4.55 47.73 0.41
1.7 0.45 -0.03 4.94 49.70 0.49
1.8 0.58 0.17 5.34 51.68 0.57
1.9 0.63 0.37 5.73 53.65 0.64
2.0 0.76 0.56 6.13 55.63 0.71
2.1 0.80 0.76 6.52 57.60 0.78
2.2 0.83 0.96 6.92 59.58 0.83
2.3 0.89 1.16 7.31 61.55 0.88
2.4 0.91 1.35 7.71 63.53 0.91
2.5 0.95 1.55 8.10 65.50 0.94
2.6 0.96 1.75 8.50 67.48 0.96
2.7 0.97 1.94 8.89 69.45 0.97
2.8 0.99 2.14 9.00 71.42 0.98
2.9 0.99 2.34 9.00 73.40 0.99
3.0 1.00 2.54 9.00 75.37 0.99

Group: ja $fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -2.82 1.00 21.78 0.00
0.1 0.00 -2.65 1.00 23.47 0.00
0.2 0.00 -2.48 1.00 25.16 0.01
0.3 0.00 -2.31 1.00 26.85 0.01
0.4 0.00 -2.15 1.00 28.55 0.02
0.5 0.06 -1.98 1.05 30.24 0.02
0.6 0.09 -1.81 1.39 31.93 0.04
0.7 0.09 -1.64 1.72 33.62 0.05
0.8 0.09 -1.47 2.06 35.31 0.07
0.9 0.09 -1.30 2.40 37.00 0.10
1.0 0.12 -1.13 2.74 38.69 0.13
1.1 0.12 -0.96 3.08 40.38 0.17
1.2 0.12 -0.79 3.41 42.07 0.21
1.3 0.21 -0.62 3.75 43.76 0.27
1.4 0.27 -0.45 4.09 45.45 0.32
1.5 0.39 -0.29 4.43 47.15 0.39
1.6 0.52 -0.12 4.77 48.84 0.45
1.7 0.52 0.05 5.11 50.53 0.52
1.8 0.70 0.22 5.44 52.22 0.59
1.9 0.73 0.39 5.78 53.91 0.65
2.0 0.73 0.56 6.12 55.60 0.71
2.1 0.73 0.73 6.46 57.29 0.77
2.2 0.79 0.90 6.80 58.98 0.82
2.3 0.85 1.07 7.13 60.67 0.86
2.4 0.88 1.24 7.47 62.36 0.89
2.5 0.94 1.41 7.81 64.05 0.92
2.6 0.94 1.57 8.15 65.75 0.94
2.7 0.94 1.74 8.49 67.44 0.96
2.8 1.00 1.91 8.83 69.13 0.97
2.9 1.00 2.08 9.00 70.82 0.98
3.0 1.00 2.25 9.00 72.51 0.99

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0.03 -2.16 1.00 28.37 0.02
0.1 0.03 -2.03 1.00 29.68 0.02
0.2 0.09 -1.90 1.20 30.98 0.03
0.3 0.09 -1.77 1.46 32.29 0.04
0.4 0.09 -1.64 1.72 33.59 0.05
0.5 0.09 -1.51 1.98 34.90 0.07
0.6 0.09 -1.38 2.24 36.21 0.08
0.7 0.12 -1.25 2.50 37.51 0.11
0.8 0.12 -1.12 2.76 38.82 0.13
0.9 0.15 -0.99 3.02 40.12 0.16
1.0 0.21 -0.86 3.29 41.43 0.20
1.1 0.21 -0.73 3.55 42.73 0.23
1.2 0.24 -0.60 3.81 44.04 0.28
1.3 0.24 -0.47 4.07 45.34 0.32
1.4 0.30 -0.33 4.33 46.65 0.37
1.5 0.45 -0.20 4.59 47.96 0.42
1.6 0.45 -0.07 4.85 49.26 0.47
1.7 0.58 0.06 5.11 50.57 0.52
1.8 0.58 0.19 5.37 51.87 0.57
1.9 0.67 0.32 5.64 53.18 0.62
2.0 0.67 0.45 5.90 54.48 0.67
2.1 0.67 0.58 6.16 55.79 0.72
2.2 0.76 0.71 6.42 57.09 0.76
2.3 0.76 0.84 6.68 58.40 0.80
2.4 0.82 0.97 6.94 59.71 0.83
2.5 0.91 1.10 7.20 61.01 0.86
2.6 0.91 1.23 7.46 62.32 0.89
2.7 0.91 1.36 7.72 63.62 0.91
2.8 0.91 1.49 7.99 64.93 0.93
2.9 0.97 1.62 8.25 66.23 0.95
3.0 1.00 1.75 8.51 67.54 0.96

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -2.69 1.00 23.09 0.00
0.1 0.00 -2.53 1.00 24.66 0.01
0.2 0.00 -2.38 1.00 26.23 0.01
0.3 0.03 -2.22 1.00 27.81 0.01
0.4 0.03 -2.06 1.00 29.38 0.02
0.5 0.03 -1.90 1.19 30.96 0.03
0.6 0.06 -1.75 1.51 32.53 0.04
0.7 0.06 -1.59 1.82 34.10 0.06
0.8 0.09 -1.43 2.14 35.68 0.08
0.9 0.12 -1.27 2.45 37.25 0.10
1.0 0.12 -1.12 2.77 38.83 0.13
1.1 0.12 -0.96 3.08 40.40 0.17
1.2 0.18 -0.80 3.39 41.97 0.21
1.3 0.24 -0.65 3.71 43.55 0.26
1.4 0.24 -0.49 4.02 45.12 0.31
1.5 0.33 -0.33 4.34 46.70 0.37
1.6 0.45 -0.17 4.65 48.27 0.43
1.7 0.45 -0.02 4.97 49.84 0.49
1.8 0.64 0.14 5.28 51.42 0.56
1.9 0.67 0.30 5.60 52.99 0.62
2.0 0.73 0.46 5.91 54.57 0.68
2.1 0.73 0.61 6.23 56.14 0.73
2.2 0.82 0.77 6.54 57.71 0.78
2.3 0.85 0.93 6.86 59.29 0.82
2.4 0.85 1.09 7.17 60.86 0.86
2.5 0.85 1.24 7.49 62.43 0.89
2.6 0.91 1.40 7.80 64.01 0.92
2.7 0.91 1.56 8.12 65.58 0.94
2.8 0.94 1.72 8.43 67.16 0.96
2.9 0.97 1.87 8.75 68.73 0.97
3.0 1.00 2.03 9.00 70.30 0.98

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -2.82 1.00 21.78 0.00
0.1 0.00 -2.65 1.00 23.47 0.00
0.2 0.00 -2.48 1.00 25.16 0.01
0.3 0.00 -2.31 1.00 26.85 0.01
0.4 0.00 -2.15 1.00 28.55 0.02
0.5 0.06 -1.98 1.05 30.24 0.02
0.6 0.09 -1.81 1.39 31.93 0.04
0.7 0.09 -1.64 1.72 33.62 0.05
0.8 0.09 -1.47 2.06 35.31 0.07
0.9 0.09 -1.30 2.40 37.00 0.10
1.0 0.12 -1.13 2.74 38.69 0.13
1.1 0.12 -0.96 3.08 40.38 0.17
1.2 0.12 -0.79 3.41 42.07 0.21
1.3 0.21 -0.62 3.75 43.76 0.27
1.4 0.27 -0.45 4.09 45.45 0.32
1.5 0.39 -0.29 4.43 47.15 0.39
1.6 0.52 -0.12 4.77 48.84 0.45
1.7 0.52 0.05 5.11 50.53 0.52
1.8 0.70 0.22 5.44 52.22 0.59
1.9 0.73 0.39 5.78 53.91 0.65
2.0 0.73 0.56 6.12 55.60 0.71
2.1 0.73 0.73 6.46 57.29 0.77
2.2 0.79 0.90 6.80 58.98 0.82
2.3 0.85 1.07 7.13 60.67 0.86
2.4 0.88 1.24 7.47 62.36 0.89
2.5 0.94 1.41 7.81 64.05 0.92
2.6 0.94 1.57 8.15 65.75 0.94
2.7 0.94 1.74 8.49 67.44 0.96
2.8 1.00 1.91 8.83 69.13 0.97
2.9 1.00 2.08 9.00 70.82 0.98
3.0 1.00 2.25 9.00 72.51 0.99

7.5 Split by Age

7.5.1 Stats

Median age in sample?

d_w_items$Alter %>% median()
## [1] 49
d_w_items <-
  d_w_items %>%
  mutate(age_below_md = if_else(Alter < median(Alter), "young", "old"))
describe_fmi_stats(data = d_w_items,
                   var = age_below_md)
age_below_md=old
Variable Mean Mean_01 SD Range Quartiles Skewness Kurtosis n n_Missing
acceptance13_mean 1.76 0.59 0.59 (0.00, 3.00) 1.43, 2.14 -0.38 0.41 526 0
fmi13_mean 1.74 0.58 0.51 (0.21, 3.00) 1.43, 2.07 -0.29 0.25 526 0
fmi14_mean 1.74 0.58 0.51 (0.21, 3.00) 1.43, 2.07 -0.29 0.25 526 0
presence_mean 1.71 0.57 0.58 (0.00, 3.00) 1.33, 2.00 -0.38 0.39 526 0
age_below_md=young
Variable Mean Mean_01 SD Range Quartiles Skewness Kurtosis n n_Missing
acceptance13_mean 1.70 0.57 0.56 (0.00, 3.00) 1.29, 2.00 -0.03 0.17 486 0
fmi13_mean 1.68 0.56 0.50 (0.21, 3.00) 1.36, 2.00 0.01 0.14 486 0
fmi14_mean 1.68 0.56 0.50 (0.21, 3.00) 1.36, 2.00 0.01 0.14 486 0
presence_mean 1.68 0.56 0.60 (0.00, 3.00) 1.33, 2.00 -0.09 0.05 486 0
plot_fmi_descriptives(data = d_w_items,
                      var = age_below_md)

7.5.2 Norms

for (i in unique(d_w_items$age_below_md)) { 
  cat("Group: ", i, "\n")
  d_w_items %>% 
    filter(age_below_md == i) %>% 
    select(ends_with("_mean")) %>% 
    map(~ knitr::kable(compute_all_norms(., min_score = 0, max_score = 3, by = .1), 
                       digits = 2)) %>% 
    print()
}

Group: young $fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.34 1.00 16.56 0.00
0.1 0.00 -3.14 1.00 18.55 0.00
0.2 0.00 -2.95 1.00 20.54 0.00
0.3 0.01 -2.75 1.00 22.53 0.00
0.4 0.01 -2.55 1.00 24.52 0.01
0.5 0.01 -2.35 1.00 26.51 0.01
0.6 0.02 -2.15 1.00 28.50 0.02
0.7 0.02 -1.95 1.10 30.49 0.03
0.8 0.04 -1.75 1.49 32.47 0.04
0.9 0.06 -1.55 1.89 34.46 0.06
1.0 0.09 -1.35 2.29 36.45 0.09
1.1 0.12 -1.16 2.69 38.44 0.12
1.2 0.16 -0.96 3.09 40.43 0.17
1.3 0.22 -0.76 3.48 42.42 0.22
1.4 0.27 -0.56 3.88 44.41 0.29
1.5 0.39 -0.36 4.28 46.40 0.36
1.6 0.45 -0.16 4.68 48.38 0.44
1.7 0.50 0.04 5.07 50.37 0.51
1.8 0.62 0.24 5.47 52.36 0.59
1.9 0.66 0.44 5.87 54.35 0.67
2.0 0.78 0.63 6.27 56.34 0.74
2.1 0.83 0.83 6.67 58.33 0.80
2.2 0.86 1.03 7.06 60.32 0.85
2.3 0.90 1.23 7.46 62.31 0.89
2.4 0.91 1.43 7.86 64.29 0.92
2.5 0.95 1.63 8.26 66.28 0.95
2.6 0.96 1.83 8.65 68.27 0.97
2.7 0.96 2.03 9.00 70.26 0.98
2.8 0.99 2.22 9.00 72.25 0.99
2.9 0.99 2.42 9.00 74.24 0.99
3.0 1.00 2.62 9.00 76.23 1.00

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0.01 -2.78 1.00 22.23 0.00
0.1 0.01 -2.61 1.00 23.89 0.00
0.2 0.02 -2.45 1.00 25.54 0.01
0.3 0.02 -2.28 1.00 27.20 0.01
0.4 0.02 -2.11 1.00 28.85 0.02
0.5 0.03 -1.95 1.10 30.51 0.03
0.6 0.03 -1.78 1.43 32.16 0.04
0.7 0.07 -1.62 1.76 33.82 0.05
0.8 0.07 -1.45 2.09 35.47 0.07
0.9 0.10 -1.29 2.42 37.12 0.10
1.0 0.15 -1.12 2.76 38.78 0.13
1.1 0.15 -0.96 3.09 40.43 0.17
1.2 0.23 -0.79 3.42 42.09 0.21
1.3 0.23 -0.63 3.75 43.74 0.27
1.4 0.31 -0.46 4.08 45.40 0.32
1.5 0.43 -0.30 4.41 47.05 0.38
1.6 0.43 -0.13 4.74 48.70 0.45
1.7 0.56 0.04 5.07 50.36 0.51
1.8 0.56 0.20 5.40 52.01 0.58
1.9 0.66 0.37 5.73 53.67 0.64
2.0 0.77 0.53 6.06 55.32 0.70
2.1 0.77 0.70 6.40 56.98 0.76
2.2 0.84 0.86 6.73 58.63 0.81
2.3 0.84 1.03 7.06 60.28 0.85
2.4 0.88 1.19 7.39 61.94 0.88
2.5 0.92 1.36 7.72 63.59 0.91
2.6 0.92 1.52 8.05 65.25 0.94
2.7 0.95 1.69 8.38 66.90 0.95
2.8 0.95 1.86 8.71 68.56 0.97
2.9 0.97 2.02 9.00 70.21 0.98
3.0 1.00 2.19 9.00 71.86 0.99

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.03 1.00 19.67 0.00
0.1 0.00 -2.85 1.00 21.45 0.00
0.2 0.01 -2.68 1.00 23.23 0.00
0.3 0.01 -2.50 1.00 25.02 0.01
0.4 0.01 -2.32 1.00 26.80 0.01
0.5 0.02 -2.14 1.00 28.58 0.02
0.6 0.03 -1.96 1.07 30.36 0.02
0.7 0.03 -1.79 1.43 32.14 0.04
0.8 0.04 -1.61 1.78 33.92 0.05
0.9 0.08 -1.43 2.14 35.70 0.08
1.0 0.13 -1.25 2.50 37.49 0.11
1.1 0.13 -1.07 2.85 39.27 0.14
1.2 0.18 -0.90 3.21 41.05 0.19
1.3 0.26 -0.72 3.57 42.83 0.24
1.4 0.26 -0.54 3.92 44.61 0.29
1.5 0.35 -0.36 4.28 46.39 0.36
1.6 0.46 -0.18 4.63 48.17 0.43
1.7 0.46 0.00 4.99 49.95 0.50
1.8 0.55 0.17 5.35 51.74 0.57
1.9 0.66 0.35 5.70 53.52 0.64
2.0 0.78 0.53 6.06 55.30 0.70
2.1 0.78 0.71 6.42 57.08 0.76
2.2 0.84 0.89 6.77 58.86 0.81
2.3 0.89 1.06 7.13 60.64 0.86
2.4 0.89 1.24 7.48 62.42 0.89
2.5 0.91 1.42 7.84 64.21 0.92
2.6 0.94 1.60 8.20 65.99 0.95
2.7 0.94 1.78 8.55 67.77 0.96
2.8 0.96 1.96 8.91 69.55 0.97
2.9 0.98 2.13 9.00 71.33 0.98
3.0 1.00 2.31 9.00 73.11 0.99

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.34 1.00 16.56 0.00
0.1 0.00 -3.14 1.00 18.55 0.00
0.2 0.00 -2.95 1.00 20.54 0.00
0.3 0.01 -2.75 1.00 22.53 0.00
0.4 0.01 -2.55 1.00 24.52 0.01
0.5 0.01 -2.35 1.00 26.51 0.01
0.6 0.02 -2.15 1.00 28.50 0.02
0.7 0.02 -1.95 1.10 30.49 0.03
0.8 0.04 -1.75 1.49 32.47 0.04
0.9 0.06 -1.55 1.89 34.46 0.06
1.0 0.09 -1.35 2.29 36.45 0.09
1.1 0.12 -1.16 2.69 38.44 0.12
1.2 0.16 -0.96 3.09 40.43 0.17
1.3 0.22 -0.76 3.48 42.42 0.22
1.4 0.27 -0.56 3.88 44.41 0.29
1.5 0.39 -0.36 4.28 46.40 0.36
1.6 0.45 -0.16 4.68 48.38 0.44
1.7 0.50 0.04 5.07 50.37 0.51
1.8 0.62 0.24 5.47 52.36 0.59
1.9 0.66 0.44 5.87 54.35 0.67
2.0 0.78 0.63 6.27 56.34 0.74
2.1 0.83 0.83 6.67 58.33 0.80
2.2 0.86 1.03 7.06 60.32 0.85
2.3 0.90 1.23 7.46 62.31 0.89
2.4 0.91 1.43 7.86 64.29 0.92
2.5 0.95 1.63 8.26 66.28 0.95
2.6 0.96 1.83 8.65 68.27 0.97
2.7 0.96 2.03 9.00 70.26 0.98
2.8 0.99 2.22 9.00 72.25 0.99
2.9 0.99 2.42 9.00 74.24 0.99
3.0 1.00 2.62 9.00 76.23 1.00

Group: old $fmi13_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.39 1.00 16.06 0.00
0.1 0.00 -3.20 1.00 18.01 0.00
0.2 0.00 -3.00 1.00 19.96 0.00
0.3 0.01 -2.81 1.00 21.90 0.00
0.4 0.01 -2.61 1.00 23.85 0.00
0.5 0.02 -2.42 1.00 25.80 0.01
0.6 0.03 -2.23 1.00 27.74 0.01
0.7 0.03 -2.03 1.00 29.69 0.02
0.8 0.05 -1.84 1.33 31.64 0.03
0.9 0.05 -1.64 1.72 33.58 0.05
1.0 0.09 -1.45 2.11 35.53 0.07
1.1 0.12 -1.25 2.50 37.48 0.11
1.2 0.14 -1.06 2.88 39.42 0.15
1.3 0.20 -0.86 3.27 41.37 0.19
1.4 0.23 -0.67 3.66 43.32 0.25
1.5 0.29 -0.47 4.05 45.27 0.32
1.6 0.34 -0.28 4.44 47.21 0.39
1.7 0.41 -0.08 4.83 49.16 0.47
1.8 0.54 0.11 5.22 51.11 0.54
1.9 0.61 0.31 5.61 53.05 0.62
2.0 0.74 0.50 6.00 55.00 0.69
2.1 0.77 0.69 6.39 56.95 0.76
2.2 0.81 0.89 6.78 58.89 0.81
2.3 0.89 1.08 7.17 60.84 0.86
2.4 0.90 1.28 7.56 62.79 0.90
2.5 0.94 1.47 7.95 64.73 0.93
2.6 0.96 1.67 8.34 66.68 0.95
2.7 0.97 1.86 8.73 68.63 0.97
2.8 0.99 2.06 9.00 70.57 0.98
2.9 0.99 2.25 9.00 72.52 0.99
3.0 1.00 2.45 9.00 74.47 0.99

$presence_mean

score perc_rank z stanine T perc_normal
0.0 0.01 -2.95 1.00 20.53 0.00
0.1 0.01 -2.78 1.00 22.25 0.00
0.2 0.01 -2.60 1.00 23.97 0.00
0.3 0.01 -2.43 1.00 25.69 0.01
0.4 0.03 -2.26 1.00 27.41 0.01
0.5 0.05 -2.09 1.00 29.12 0.02
0.6 0.05 -1.92 1.17 30.84 0.03
0.7 0.06 -1.74 1.51 32.56 0.04
0.8 0.06 -1.57 1.86 34.28 0.06
0.9 0.09 -1.40 2.20 36.00 0.08
1.0 0.14 -1.23 2.54 37.72 0.11
1.1 0.14 -1.06 2.89 39.43 0.15
1.2 0.19 -0.88 3.23 41.15 0.19
1.3 0.19 -0.71 3.57 42.87 0.24
1.4 0.28 -0.54 3.92 44.59 0.29
1.5 0.37 -0.37 4.26 46.31 0.36
1.6 0.37 -0.20 4.61 48.03 0.42
1.7 0.48 -0.03 4.95 49.75 0.49
1.8 0.48 0.15 5.29 51.46 0.56
1.9 0.61 0.32 5.64 53.18 0.62
2.0 0.77 0.49 5.98 54.90 0.69
2.1 0.77 0.66 6.32 56.62 0.75
2.2 0.84 0.83 6.67 58.34 0.80
2.3 0.84 1.01 7.01 60.06 0.84
2.4 0.90 1.18 7.35 61.77 0.88
2.5 0.94 1.35 7.70 63.49 0.91
2.6 0.94 1.52 8.04 65.21 0.94
2.7 0.96 1.69 8.39 66.93 0.95
2.8 0.96 1.86 8.73 68.65 0.97
2.9 0.98 2.04 9.00 70.37 0.98
3.0 1.00 2.21 9.00 72.09 0.99

$acceptance13_mean

score perc_rank z stanine T perc_normal
0.0 0.01 -2.97 1.00 20.32 0.00
0.1 0.01 -2.80 1.00 22.00 0.00
0.2 0.02 -2.63 1.00 23.69 0.00
0.3 0.02 -2.46 1.00 25.37 0.01
0.4 0.02 -2.29 1.00 27.05 0.01
0.5 0.03 -2.13 1.00 28.74 0.02
0.6 0.04 -1.96 1.08 30.42 0.03
0.7 0.04 -1.79 1.42 32.11 0.04
0.8 0.06 -1.62 1.76 33.79 0.05
0.9 0.08 -1.45 2.09 35.47 0.07
1.0 0.12 -1.28 2.43 37.16 0.10
1.1 0.12 -1.12 2.77 38.84 0.13
1.2 0.16 -0.95 3.10 40.52 0.17
1.3 0.23 -0.78 3.44 42.21 0.22
1.4 0.23 -0.61 3.78 43.89 0.27
1.5 0.30 -0.44 4.11 45.57 0.33
1.6 0.37 -0.27 4.45 47.26 0.39
1.7 0.37 -0.11 4.79 48.94 0.46
1.8 0.48 0.06 5.12 50.62 0.52
1.9 0.60 0.23 5.46 52.31 0.59
2.0 0.73 0.40 5.80 53.99 0.66
2.1 0.73 0.57 6.14 55.68 0.71
2.2 0.81 0.74 6.47 57.36 0.77
2.3 0.85 0.90 6.81 59.04 0.82
2.4 0.85 1.07 7.15 60.73 0.86
2.5 0.89 1.24 7.48 62.41 0.89
2.6 0.94 1.41 7.82 64.09 0.92
2.7 0.94 1.58 8.16 65.78 0.94
2.8 0.96 1.75 8.49 67.46 0.96
2.9 0.97 1.91 8.83 69.14 0.97
3.0 1.00 2.08 9.00 70.83 0.98

$fmi14_mean

score perc_rank z stanine T perc_normal
0.0 0.00 -3.39 1.00 16.06 0.00
0.1 0.00 -3.20 1.00 18.01 0.00
0.2 0.00 -3.00 1.00 19.96 0.00
0.3 0.01 -2.81 1.00 21.90 0.00
0.4 0.01 -2.61 1.00 23.85 0.00
0.5 0.02 -2.42 1.00 25.80 0.01
0.6 0.03 -2.23 1.00 27.74 0.01
0.7 0.03 -2.03 1.00 29.69 0.02
0.8 0.05 -1.84 1.33 31.64 0.03
0.9 0.05 -1.64 1.72 33.58 0.05
1.0 0.09 -1.45 2.11 35.53 0.07
1.1 0.12 -1.25 2.50 37.48 0.11
1.2 0.14 -1.06 2.88 39.42 0.15
1.3 0.20 -0.86 3.27 41.37 0.19
1.4 0.23 -0.67 3.66 43.32 0.25
1.5 0.29 -0.47 4.05 45.27 0.32
1.6 0.34 -0.28 4.44 47.21 0.39
1.7 0.41 -0.08 4.83 49.16 0.47
1.8 0.54 0.11 5.22 51.11 0.54
1.9 0.61 0.31 5.61 53.05 0.62
2.0 0.74 0.50 6.00 55.00 0.69
2.1 0.77 0.69 6.39 56.95 0.76
2.2 0.81 0.89 6.78 58.89 0.81
2.3 0.89 1.08 7.17 60.84 0.86
2.4 0.90 1.28 7.56 62.79 0.90
2.5 0.94 1.47 7.95 64.73 0.93
2.6 0.96 1.67 8.34 66.68 0.95
2.7 0.97 1.86 8.73 68.63 0.97
2.8 0.99 2.06 9.00 70.57 0.98
2.9 0.99 2.25 9.00 72.52 0.99
3.0 1.00 2.45 9.00 74.47 0.99

8 Overview on descriptive statistics per subgroup

subgroup_stats <- list()

for (i in seq_along(subgroup_vars)){

subgroup_stats[[i]] <- 
  d_w_items %>% 
  select(ends_with("mean"),
         any_of(subgroup_vars)[i]) %>% 
  group_by(across(any_of(subgroup_vars[i]))) %>% 
    describe_distribution() %>% 
  select(Variable, Mean, SD, IQR, Min, Max, n, .group)

subgroup_stats[[i]][["subgroup_var"]] <- subgroup_vars[i]
}

subgroup_stats_df <- do.call(rbind, subgroup_stats)

subgroup_stats_df <-
  subgroup_stats_df %>% 
  mutate(group = str_remove(.group, "^.+=")) %>% 
  select(-.group)

display(subgroup_stats_df)
Variable Mean SD IQR Range n subgroup_var group
fmi13_mean 1.71 0.51 0.71 (0.21, 3.00) 515 Geschlecht female
presence_mean 1.72 0.58 0.67 (0.00, 3.00) 515 Geschlecht female
acceptance13_mean 1.73 0.57 0.86 (0.00, 3.00) 515 Geschlecht female
fmi14_mean 1.71 0.51 0.71 (0.21, 3.00) 515 Geschlecht female
fmi13_mean 1.71 0.51 0.57 (0.21, 3.00) 495 Geschlecht male
presence_mean 1.67 0.60 0.67 (0.00, 3.00) 495 Geschlecht male
acceptance13_mean 1.74 0.59 0.57 (0.00, 3.00) 495 Geschlecht male
fmi14_mean 1.71 0.51 0.57 (0.21, 3.00) 495 Geschlecht male
fmi13_mean 1.50 0.20 0.29 (1.36, 1.64) 2 Geschlecht other
presence_mean 1.33 0.00 0.00 (1.33, 1.33) 2 Geschlecht other
acceptance13_mean 1.79 0.51 0.71 (1.43, 2.14) 2 Geschlecht other
fmi14_mean 1.50 0.20 0.29 (1.36, 1.64) 2 Geschlecht other
fmi13_mean 1.69 0.51 0.64 (0.21, 3.00) 792 Achts_regel no
presence_mean 1.65 0.59 0.67 (0.00, 3.00) 792 Achts_regel no
acceptance13_mean 1.72 0.59 0.71 (0.00, 3.00) 792 Achts_regel no
fmi14_mean 1.69 0.51 0.64 (0.21, 3.00) 792 Achts_regel no
fmi13_mean 1.81 0.49 0.57 (0.21, 3.00) 220 Achts_regel yes
presence_mean 1.86 0.56 0.67 (0.00, 3.00) 220 Achts_regel yes
acceptance13_mean 1.80 0.55 0.71 (0.00, 3.00) 220 Achts_regel yes
fmi14_mean 1.81 0.49 0.57 (0.21, 3.00) 220 Achts_regel yes
fmi13_mean 1.82 0.43 0.43 (0.71, 3.00) 116 Retreats Multiple retreats per year
presence_mean 1.84 0.50 0.62 (0.33, 3.00) 116 Retreats Multiple retreats per year
acceptance13_mean 1.81 0.48 0.54 (0.71, 3.00) 116 Retreats Multiple retreats per year
fmi14_mean 1.82 0.43 0.43 (0.71, 3.00) 116 Retreats Multiple retreats per year
fmi13_mean 1.68 0.52 0.64 (0.21, 3.00) 673 Retreats Never
presence_mean 1.64 0.59 0.67 (0.00, 3.00) 673 Retreats Never
acceptance13_mean 1.70 0.60 0.71 (0.00, 3.00) 673 Retreats Never
fmi14_mean 1.68 0.52 0.64 (0.21, 3.00) 673 Retreats Never
fmi13_mean 1.71 0.45 0.57 (0.57, 2.93) 58 Retreats Once a year
presence_mean 1.68 0.55 0.67 (0.17, 3.00) 58 Retreats Once a year
acceptance13_mean 1.73 0.50 0.57 (0.71, 3.00) 58 Retreats Once a year
fmi14_mean 1.71 0.45 0.57 (0.57, 2.93) 58 Retreats Once a year
fmi13_mean 1.71 0.46 0.71 (0.93, 2.93) 86 Retreats Once every couple of years
presence_mean 1.71 0.59 0.83 (0.67, 3.00) 86 Retreats Once every couple of years
acceptance13_mean 1.74 0.53 0.71 (0.29, 3.00) 86 Retreats Once every couple of years
fmi14_mean 1.71 0.46 0.71 (0.93, 2.93) 86 Retreats Once every couple of years
fmi13_mean 1.89 0.55 0.71 (0.29, 2.79) 79 Retreats Rarely
presence_mean 1.94 0.68 0.83 (0.00, 3.00) 79 Retreats Rarely
acceptance13_mean 1.93 0.63 0.71 (0.14, 3.00) 79 Retreats Rarely
fmi14_mean 1.89 0.55 0.71 (0.29, 2.79) 79 Retreats Rarely
fmi13_mean 1.67 0.59 0.79 (0.43, 2.79) 33 Vip_regel ja
presence_mean 1.66 0.77 1.00 (0.00, 3.00) 33 Vip_regel ja
acceptance13_mean 1.71 0.64 0.79 (0.29, 3.00) 33 Vip_regel ja
fmi14_mean 1.67 0.59 0.79 (0.43, 2.79) 33 Vip_regel ja
fmi13_mean 1.71 0.51 0.64 (0.21, 3.00) 979 Vip_regel nicht
presence_mean 1.70 0.59 0.67 (0.00, 3.00) 979 Vip_regel nicht
acceptance13_mean 1.73 0.58 0.57 (0.00, 3.00) 979 Vip_regel nicht
fmi14_mean 1.71 0.51 0.64 (0.21, 3.00) 979 Vip_regel nicht
fmi13_mean 1.74 0.51 0.64 (0.21, 3.00) 526 age_below_md old
presence_mean 1.71 0.58 0.67 (0.00, 3.00) 526 age_below_md old
acceptance13_mean 1.76 0.59 0.71 (0.00, 3.00) 526 age_below_md old
fmi14_mean 1.74 0.51 0.64 (0.21, 3.00) 526 age_below_md old
fmi13_mean 1.68 0.50 0.64 (0.21, 3.00) 486 age_below_md young
presence_mean 1.68 0.60 0.67 (0.00, 3.00) 486 age_below_md young
acceptance13_mean 1.70 0.56 0.71 (0.00, 3.00) 486 age_below_md young
fmi14_mean 1.68 0.50 0.64 (0.21, 3.00) 486 age_below_md young
subgroup_stats_long <- 
subgroup_stats_df %>% 
  select(Variable, Mean, SD, group, subgroup_var) %>% 
  mutate(Subscale = str_remove(Variable, "_mean")) %>% 
  pivot_longer(-c(Variable, group, Mean, Subscale, subgroup_var), 
               values_to = "SD")

display(subgroup_stats_long)
Variable Mean group subgroup_var Subscale name SD
fmi13_mean 1.71 female Geschlecht fmi13 SD 0.51
presence_mean 1.72 female Geschlecht presence SD 0.58
acceptance13_mean 1.73 female Geschlecht acceptance13 SD 0.57
fmi14_mean 1.71 female Geschlecht fmi14 SD 0.51
fmi13_mean 1.71 male Geschlecht fmi13 SD 0.51
presence_mean 1.67 male Geschlecht presence SD 0.60
acceptance13_mean 1.74 male Geschlecht acceptance13 SD 0.59
fmi14_mean 1.71 male Geschlecht fmi14 SD 0.51
fmi13_mean 1.50 other Geschlecht fmi13 SD 0.20
presence_mean 1.33 other Geschlecht presence SD 0.00
acceptance13_mean 1.79 other Geschlecht acceptance13 SD 0.51
fmi14_mean 1.50 other Geschlecht fmi14 SD 0.20
fmi13_mean 1.69 no Achts_regel fmi13 SD 0.51
presence_mean 1.65 no Achts_regel presence SD 0.59
acceptance13_mean 1.72 no Achts_regel acceptance13 SD 0.59
fmi14_mean 1.69 no Achts_regel fmi14 SD 0.51
fmi13_mean 1.81 yes Achts_regel fmi13 SD 0.49
presence_mean 1.86 yes Achts_regel presence SD 0.56
acceptance13_mean 1.80 yes Achts_regel acceptance13 SD 0.55
fmi14_mean 1.81 yes Achts_regel fmi14 SD 0.49
fmi13_mean 1.82 Multiple retreats per year Retreats fmi13 SD 0.43
presence_mean 1.84 Multiple retreats per year Retreats presence SD 0.50
acceptance13_mean 1.81 Multiple retreats per year Retreats acceptance13 SD 0.48
fmi14_mean 1.82 Multiple retreats per year Retreats fmi14 SD 0.43
fmi13_mean 1.68 Never Retreats fmi13 SD 0.52
presence_mean 1.64 Never Retreats presence SD 0.59
acceptance13_mean 1.70 Never Retreats acceptance13 SD 0.60
fmi14_mean 1.68 Never Retreats fmi14 SD 0.52
fmi13_mean 1.71 Once a year Retreats fmi13 SD 0.45
presence_mean 1.68 Once a year Retreats presence SD 0.55
acceptance13_mean 1.73 Once a year Retreats acceptance13 SD 0.50
fmi14_mean 1.71 Once a year Retreats fmi14 SD 0.45
fmi13_mean 1.71 Once every couple of years Retreats fmi13 SD 0.46
presence_mean 1.71 Once every couple of years Retreats presence SD 0.59
acceptance13_mean 1.74 Once every couple of years Retreats acceptance13 SD 0.53
fmi14_mean 1.71 Once every couple of years Retreats fmi14 SD 0.46
fmi13_mean 1.89 Rarely Retreats fmi13 SD 0.55
presence_mean 1.94 Rarely Retreats presence SD 0.68
acceptance13_mean 1.93 Rarely Retreats acceptance13 SD 0.63
fmi14_mean 1.89 Rarely Retreats fmi14 SD 0.55
fmi13_mean 1.67 ja Vip_regel fmi13 SD 0.59
presence_mean 1.66 ja Vip_regel presence SD 0.77
acceptance13_mean 1.71 ja Vip_regel acceptance13 SD 0.64
fmi14_mean 1.67 ja Vip_regel fmi14 SD 0.59
fmi13_mean 1.71 nicht Vip_regel fmi13 SD 0.51
presence_mean 1.70 nicht Vip_regel presence SD 0.59
acceptance13_mean 1.73 nicht Vip_regel acceptance13 SD 0.58
fmi14_mean 1.71 nicht Vip_regel fmi14 SD 0.51
fmi13_mean 1.74 old age_below_md fmi13 SD 0.51
presence_mean 1.71 old age_below_md presence SD 0.58
acceptance13_mean 1.76 old age_below_md acceptance13 SD 0.59
fmi14_mean 1.74 old age_below_md fmi14 SD 0.51
fmi13_mean 1.68 young age_below_md fmi13 SD 0.50
presence_mean 1.68 young age_below_md presence SD 0.60
acceptance13_mean 1.70 young age_below_md acceptance13 SD 0.56
fmi14_mean 1.68 young age_below_md fmi14 SD 0.50
# subgroup_stats_long %>% 
#   ggplot(aes(x = Variable, color = group)) +
#   geom_errorbar(aes(ymin = Mean-SD, ymax = Mean+SD), position = "dodge") +
#   geom_point2(aes(y = Mean), alpha = .7, size = 2) +
#   facet_wrap(subgroup_vars ~ Variable, scales = "free")

8.1 Regression models

8.1.1 m1

m1 <- lm(phq_sum ~ presence_mean + acceptance13_mean, data = d_w_items)
parameters(m1) %>% display()

performance(m1) %>% display
summary(m1)

Standardized data:

parameters(m1, standardize = "refit") %>% display

9 Session info

sessionInfo()
## R version 4.4.1 (2024-06-14)
## Platform: x86_64-apple-darwin20
## Running under: macOS 15.4.1
## 
## Matrix products: default
## BLAS:   /Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/lib/libRblas.0.dylib 
## LAPACK: /Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/lib/libRlapack.dylib;  LAPACK version 3.12.0
## 
## locale:
## [1] de_DE.UTF-8/de_DE.UTF-8/de_DE.UTF-8/C/de_DE.UTF-8/en_US.UTF-8
## 
## time zone: Europe/Berlin
## tzcode source: internal
## 
## attached base packages:
## [1] stats     graphics  grDevices utils     datasets  methods   base     
## 
## other attached packages:
##  [1] janitor_2.2.0      psych_2.4.12       semPlot_1.1.6      lavaan_0.6-19     
##  [5] magrittr_2.0.3     gt_0.11.1          knitr_1.49         DataExplorer_0.8.3
##  [9] lubridate_1.9.3    forcats_1.0.0      stringr_1.5.1      dplyr_1.1.4       
## [13] purrr_1.0.2        readr_2.1.5        tidyr_1.3.1        tibble_3.2.1      
## [17] ggplot2_3.5.1      tidyverse_2.0.0    here_1.0.1         see_0.10.0        
## [21] report_0.6.1       parameters_0.24.1  performance_0.13.0 modelbased_0.9.0  
## [25] insight_1.0.2      effectsize_1.0.0   datawizard_1.0.0   correlation_0.8.6 
## [29] bayestestR_0.15.2  easystats_0.7.4   
## 
## loaded via a namespace (and not attached):
##   [1] rstudioapi_0.17.1    jsonlite_1.8.8       estimability_1.5.1  
##   [4] farver_2.1.2         nloptr_2.1.1         rmarkdown_2.28      
##   [7] vctrs_0.6.5          minqa_1.2.8          base64enc_0.1-3     
##  [10] htmltools_0.5.8.1    haven_2.5.4          Formula_1.2-5       
##  [13] sass_0.4.9           bslib_0.8.0          htmlwidgets_1.6.4   
##  [16] plyr_1.8.9           emmeans_1.10.6       cachem_1.1.0        
##  [19] networkD3_0.4        igraph_2.0.3         lifecycle_1.0.4     
##  [22] pkgconfig_2.0.3      Matrix_1.7-0         R6_2.5.1            
##  [25] fastmap_1.2.0        snakecase_0.11.1     digest_0.6.37       
##  [28] OpenMx_2.21.13       fdrtool_1.2.18       colorspace_2.1-1    
##  [31] patchwork_1.3.0      rprojroot_2.0.4      Hmisc_5.2-3         
##  [34] labeling_0.4.3       timechange_0.3.0     abind_1.4-8         
##  [37] compiler_4.4.1       bit64_4.0.5          withr_3.0.2         
##  [40] glasso_1.11          htmlTable_2.4.3      backports_1.5.0     
##  [43] carData_3.0-5        MASS_7.3-60.2        GPArotation_2024.3-1
##  [46] corpcor_1.6.10       gtools_3.9.5         tools_4.4.1         
##  [49] pbivnorm_0.6.0       foreign_0.8-86       zip_2.3.1           
##  [52] nnet_7.3-19          glue_1.8.0           quadprog_1.5-8      
##  [55] nlme_3.1-164         lisrelToR_0.3        grid_4.4.1          
##  [58] checkmate_2.3.2      cluster_2.1.6        reshape2_1.4.4      
##  [61] generics_0.1.3       gtable_0.3.5         tzdb_0.4.0          
##  [64] data.table_1.16.4    hms_1.1.3            xml2_1.3.6          
##  [67] sem_3.1-16           pillar_1.10.1        vroom_1.6.5         
##  [70] rockchalk_1.8.157    splines_4.4.1        lattice_0.22-6      
##  [73] bit_4.0.5            kutils_1.73          tidyselect_1.2.1    
##  [76] pbapply_1.7-2        gridExtra_2.3        stats4_4.4.1        
##  [79] xfun_0.49            qgraph_1.9.8         arm_1.14-4          
##  [82] stringi_1.8.4        yaml_2.3.10          boot_1.3-30         
##  [85] evaluate_1.0.3       codetools_0.2-20     mi_1.1              
##  [88] cli_3.6.3            RcppParallel_5.1.9   rpart_4.1.23        
##  [91] xtable_1.8-4         munsell_0.5.1        jquerylib_0.1.4     
##  [94] Rcpp_1.0.14          coda_0.19-4.1        png_0.1-8           
##  [97] XML_3.99-0.18        parallel_4.4.1       jpeg_0.1-10         
## [100] lme4_1.1-35.5        mvtnorm_1.3-1        scales_1.3.0        
## [103] crayon_1.5.3         openxlsx_4.2.8       rlang_1.1.4         
## [106] mnormt_2.1.1